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",[572,1192,1194,1212],{"className":1193},[575],[572,1195,1197],{"className":1196},[579],[581,1198,1199],{"xmlns":583},[585,1200,1201,1209],{},[588,1202,1203,1205,1207],{},[598,1204,740],{},[602,1206,743],{},[598,1208,752],{},[609,1210,1211],{"encoding":611},"\\lg a",[572,1213,1215],{"className":1214,"ariaHidden":617},[616],[572,1216,1218,1221,1226,1229],{"className":1217},[621],[572,1219],{"className":1220,"style":866},[625],[572,1222,788,1224],{"className":1223},[787],[572,1225,792],{"style":791},[572,1227],{"className":1228,"style":875},[672],[572,1230,752],{"className":1231},[630,668]," teilen: ",[572,1234,1236,1275],{"className":1235},[575],[572,1237,1239],{"className":1238},[579],[581,1240,1241],{"xmlns":583},[585,1242,1243,1272],{},[588,1244,1245,1247,1249],{},[598,1246,600],{},[602,1248,604],{},[1250,1251,1253],"mstyle",{"scriptlevel":1252,"displaystyle":617},"0",[1254,1255,1256,1264],"mfrac",{},[588,1257,1258,1260,1262],{},[598,1259,740],{},[602,1261,743],{},[598,1263,912],{},[588,1265,1266,1268,1270],{},[598,1267,740],{},[602,1269,743],{},[598,1271,752],{},[609,1273,1274],{"encoding":611},"x = \\dfrac{\\lg b}{\\lg a}",[572,1276,1278,1296],{"className":1277,"ariaHidden":617},[616],[572,1279,1281,1284,1287,1290,1293],{"className":1280},[621],[572,1282],{"className":1283,"style":717},[625],[572,1285,600],{"className":1286},[630,668],[572,1288],{"className":1289,"style":673},[672],[572,1291,604],{"className":1292},[677],[572,1294],{"className":1295,"style":673},[672],[572,1297,1299,1303],{"className":1298},[621],[572,1300],{"className":1301,"style":1302},[625],"height:2.2519em;vertical-align:-0.8804em;",[572,1304,1306,1310,1390],{"className":1305},[630],[572,1307],{"className":1308},[796,1309],"nulldelimiter",[572,1311,1313],{"className":1312},[1254],[572,1314,1317,1381],{"className":1315},[641,1316],"vlist-t2",[572,1318,1320,1376],{"className":1319},[645],[572,1321,1324,1345,1356],{"className":1322,"style":1323},[649],"height:1.3714em;",[572,1325,1327,1331],{"style":1326},"top:-2.314em;",[572,1328],{"className":1329,"style":1330},[656],"height:3em;",[572,1332,1334,1339,1342],{"className":1333},[630],[572,1335,788,1337],{"className":1336},[787],[572,1338,792],{"style":791},[572,1340],{"className":1341,"style":875},[672],[572,1343,752],{"className":1344},[630,668],[572,1346,1348,1351],{"style":1347},"top:-3.23em;",[572,1349],{"className":1350,"style":1330},[656],[572,1352],{"className":1353,"style":1355},[1354],"frac-line","border-bottom-width:0.04em;",[572,1357,1359,1362],{"style":1358},"top:-3.677em;",[572,1360],{"className":1361,"style":1330},[656],[572,1363,1365,1370,1373],{"className":1364},[630],[572,1366,788,1368],{"className":1367},[787],[572,1369,792],{"style":791},[572,1371],{"className":1372,"style":875},[672],[572,1374,912],{"className":1375},[630,668],[572,1377,1380],{"className":1378},[1379],"vlist-s","​",[572,1382,1384],{"className":1383},[645],[572,1385,1388],{"className":1386,"style":1387},[649],"height:0.8804em;",[572,1389],{},[572,1391],{"className":1392},[829,1309],[564,1394,1395,1396,1424,1425,1453,1454,1457,1458,1511,1512,1592,1593,1652],{},"Lässt sich ",[572,1397,1399,1412],{"className":1398},[575],[572,1400,1402],{"className":1401},[579],[581,1403,1404],{"xmlns":583},[585,1405,1406,1410],{},[588,1407,1408],{},[598,1409,912],{},[609,1411,912],{"encoding":611},[572,1413,1415],{"className":1414,"ariaHidden":617},[616],[572,1416,1418,1421],{"className":1417},[621],[572,1419],{"className":1420,"style":969},[625],[572,1422,912],{"className":1423},[630,668]," als Potenz von ",[572,1426,1428,1441],{"className":1427},[575],[572,1429,1431],{"className":1430},[579],[581,1432,1433],{"xmlns":583},[585,1434,1435,1439],{},[588,1436,1437],{},[598,1438,752],{},[609,1440,752],{"encoding":611},[572,1442,1444],{"className":1443,"ariaHidden":617},[616],[572,1445,1447,1450],{"className":1446},[621],[572,1448],{"className":1449,"style":717},[625],[572,1451,752],{"className":1452},[630,668]," schreiben, reicht ein ",[568,1455,1456],{},"Exponentenvergleich",". Ist ",[572,1459,1461,1480],{"className":1460},[575],[572,1462,1464],{"className":1463},[579],[581,1465,1466],{"xmlns":583},[585,1467,1468,1477],{},[588,1469,1470,1472,1475],{},[598,1471,912],{},[602,1473,1474],{},"≤",[594,1476,1252],{},[609,1478,1479],{"encoding":611},"b \\leq 0",[572,1481,1483,1502],{"className":1482,"ariaHidden":617},[616],[572,1484,1486,1490,1493,1496,1499],{"className":1485},[621],[572,1487],{"className":1488,"style":1489},[625],"height:0.8304em;vertical-align:-0.136em;",[572,1491,912],{"className":1492},[630,668],[572,1494],{"className":1495,"style":673},[672],[572,1497,1474],{"className":1498},[677],[572,1500],{"className":1501,"style":673},[672],[572,1503,1505,1508],{"className":1504},[621],[572,1506],{"className":1507,"style":687},[625],[572,1509,1252],{"className":1510},[630],", hat ",[572,1513,1515,1536],{"className":1514},[575],[572,1516,1518],{"className":1517},[579],[581,1519,1520],{"xmlns":583},[585,1521,1522,1534],{},[588,1523,1524,1530,1532],{},[591,1525,1526,1528],{},[598,1527,752],{},[598,1529,600],{},[602,1531,604],{},[598,1533,912],{},[609,1535,915],{"encoding":611},[572,1537,1539,1583],{"className":1538,"ariaHidden":617},[616],[572,1540,1542,1545,1574,1577,1580],{"className":1541},[621],[572,1543],{"className":1544,"style":626},[625],[572,1546,1548,1551],{"className":1547},[630],[572,1549,752],{"className":1550},[630,668],[572,1552,1554],{"className":1553},[637],[572,1555,1557],{"className":1556},[641],[572,1558,1560],{"className":1559},[645],[572,1561,1563],{"className":1562,"style":626},[649],[572,1564,1565,1568],{"style":652},[572,1566],{"className":1567,"style":657},[656],[572,1569,1571],{"className":1570},[661,662,663,664],[572,1572,600],{"className":1573},[630,668,664],[572,1575],{"className":1576,"style":673},[672],[572,1578,604],{"className":1579},[677],[572,1581],{"className":1582,"style":673},[672],[572,1584,1586,1589],{"className":1585},[621],[572,1587],{"className":1588,"style":969},[625],[572,1590,912],{"className":1591},[630,668]," keine Lösung, weil ",[572,1594,1596,1614],{"className":1595},[575],[572,1597,1599],{"className":1598},[579],[581,1600,1601],{"xmlns":583},[585,1602,1603,1611],{},[588,1604,1605],{},[591,1606,1607,1609],{},[598,1608,752],{},[598,1610,600],{},[609,1612,1613],{"encoding":611},"a^x",[572,1615,1617],{"className":1616,"ariaHidden":617},[616],[572,1618,1620,1623],{"className":1619},[621],[572,1621],{"className":1622,"style":626},[625],[572,1624,1626,1629],{"className":1625},[630],[572,1627,752],{"className":1628},[630,668],[572,1630,1632],{"className":1631},[637],[572,1633,1635],{"className":1634},[641],[572,1636,1638],{"className":1637},[645],[572,1639,1641],{"className":1640,"style":626},[649],[572,1642,1643,1646],{"style":652},[572,1644],{"className":1645,"style":657},[656],[572,1647,1649],{"className":1648},[661,662,663,664],[572,1650,600],{"className":1651},[630,668,664]," immer positiv ist.",[559,1654,1656],{"id":1655},"beispiele","Beispiele",[564,1658,1659,1660,1797,1798,879],{},"Exponentenvergleich: ",[572,1661,1663,1696],{"className":1662},[575],[572,1664,1666],{"className":1665},[579],[581,1667,1668],{"xmlns":583},[585,1669,1670,1693],{},[588,1671,1672,1679,1681,1684,1686],{},[591,1673,1674,1677],{},[594,1675,1676],{},"2",[598,1678,600],{},[602,1680,604],{},[594,1682,1683],{},"32",[602,1685,604],{},[591,1687,1688,1690],{},[594,1689,1676],{},[594,1691,1692],{},"5",[609,1694,1695],{"encoding":611},"2^x = 32 = 2^5",[572,1697,1699,1743,1761],{"className":1698,"ariaHidden":617},[616],[572,1700,1702,1705,1734,1737,1740],{"className":1701},[621],[572,1703],{"className":1704,"style":626},[625],[572,1706,1708,1711],{"className":1707},[630],[572,1709,1676],{"className":1710},[630],[572,1712,1714],{"className":1713},[637],[572,1715,1717],{"className":1716},[641],[572,1718,1720],{"className":1719},[645],[572,1721,1723],{"className":1722,"style":626},[649],[572,1724,1725,1728],{"style":652},[572,1726],{"className":1727,"style":657},[656],[572,1729,1731],{"className":1730},[661,662,663,664],[572,1732,600],{"className":1733},[630,668,664],[572,1735],{"className":1736,"style":673},[672],[572,1738,604],{"className":1739},[677],[572,1741],{"className":1742,"style":673},[672],[572,1744,1746,1749,1752,1755,1758],{"className":1745},[621],[572,1747],{"className":1748,"style":687},[625],[572,1750,1683],{"className":1751},[630],[572,1753],{"className":1754,"style":673},[672],[572,1756,604],{"className":1757},[677],[572,1759],{"className":1760,"style":673},[672],[572,1762,1764,1768],{"className":1763},[621],[572,1765],{"className":1766,"style":1767},[625],"height:0.8141em;",[572,1769,1771,1774],{"className":1770},[630],[572,1772,1676],{"className":1773},[630],[572,1775,1777],{"className":1776},[637],[572,1778,1780],{"className":1779},[641],[572,1781,1783],{"className":1782},[645],[572,1784,1786],{"className":1785,"style":1767},[649],[572,1787,1788,1791],{"style":652},[572,1789],{"className":1790,"style":657},[656],[572,1792,1794],{"className":1793},[661,662,663,664],[572,1795,1692],{"className":1796},[630,664],", also ",[572,1799,1801,1819],{"className":1800},[575],[572,1802,1804],{"className":1803},[579],[581,1805,1806],{"xmlns":583},[585,1807,1808,1816],{},[588,1809,1810,1812,1814],{},[598,1811,600],{},[602,1813,604],{},[594,1815,1692],{},[609,1817,1818],{"encoding":611},"x = 5",[572,1820,1822,1840],{"className":1821,"ariaHidden":617},[616],[572,1823,1825,1828,1831,1834,1837],{"className":1824},[621],[572,1826],{"className":1827,"style":717},[625],[572,1829,600],{"className":1830},[630,668],[572,1832],{"className":1833,"style":673},[672],[572,1835,604],{"className":1836},[677],[572,1838],{"className":1839,"style":673},[672],[572,1841,1843,1846],{"className":1842},[621],[572,1844],{"className":1845,"style":687},[625],[572,1847,1692],{"className":1848},[630],[564,1850,1851,1852],{},"Mit Logarithmus: ",[572,1853,1855,1876],{"className":1854},[575],[572,1856,1858],{"className":1857},[579],[581,1859,1860],{"xmlns":583},[585,1861,1862,1874],{},[588,1863,1864,1870,1872],{},[591,1865,1866,1868],{},[594,1867,596],{},[598,1869,600],{},[602,1871,604],{},[594,1873,607],{},[609,1875,612],{"encoding":611},[572,1877,1879,1923],{"className":1878,"ariaHidden":617},[616],[572,1880,1882,1885,1914,1917,1920],{"className":1881},[621],[572,1883],{"className":1884,"style":626},[625],[572,1886,1888,1891],{"className":1887},[630],[572,1889,596],{"className":1890},[630],[572,1892,1894],{"className":1893},[637],[572,1895,1897],{"className":1896},[641],[572,1898,1900],{"className":1899},[645],[572,1901,1903],{"className":1902,"style":626},[649],[572,1904,1905,1908],{"style":652},[572,1906],{"className":1907,"style":657},[656],[572,1909,1911],{"className":1910},[661,662,663,664],[572,1912,600],{"className":1913},[630,668,664],[572,1915],{"className":1916,"style":673},[672],[572,1918,604],{"className":1919},[677],[572,1921],{"className":1922,"style":673},[672],[572,1924,1926,1929],{"className":1925},[621],[572,1927],{"className":1928,"style":687},[625],[572,1930,607],{"className":1931},[630],[572,1933,1936],{"className":1934},[1935],"katex-display",[572,1937,1939,1980],{"className":1938},[575],[572,1940,1942],{"className":1941},[579],[581,1943,1945],{"xmlns":583,"display":1944},"block",[585,1946,1947,1977],{},[588,1948,1949,1951,1953,1971,1974],{},[598,1950,600],{},[602,1952,604],{},[1254,1954,1955,1963],{},[588,1956,1957,1959,1961],{},[598,1958,740],{},[602,1960,743],{},[594,1962,607],{},[588,1964,1965,1967,1969],{},[598,1966,740],{},[602,1968,743],{},[594,1970,596],{},[602,1972,1973],{},"≈",[594,1975,1976],{},"2,7268",[609,1978,1979],{"encoding":611},"x = \\frac{\\lg 20}{\\lg 3} \\approx 2{,}7268",[572,1981,1983,2001,2094],{"className":1982,"ariaHidden":617},[616],[572,1984,1986,1989,1992,1995,1998],{"className":1985},[621],[572,1987],{"className":1988,"style":717},[625],[572,1990,600],{"className":1991},[630,668],[572,1993],{"className":1994,"style":673},[672],[572,1996,604],{"className":1997},[677],[572,1999],{"className":2000,"style":673},[672],[572,2002,2004,2007,2085,2088,2091],{"className":2003},[621],[572,2005],{"className":2006,"style":1302},[625],[572,2008,2010,2013,2082],{"className":2009},[630],[572,2011],{"className":2012},[796,1309],[572,2014,2016],{"className":2015},[1254],[572,2017,2019,2074],{"className":2018},[641,1316],[572,2020,2022,2071],{"className":2021},[645],[572,2023,2025,2044,2052],{"className":2024,"style":1323},[649],[572,2026,2027,2030],{"style":1326},[572,2028],{"className":2029,"style":1330},[656],[572,2031,2033,2038,2041],{"className":2032},[630],[572,2034,788,2036],{"className":2035},[787],[572,2037,792],{"style":791},[572,2039],{"className":2040,"style":875},[672],[572,2042,596],{"className":2043},[630],[572,2045,2046,2049],{"style":1347},[572,2047],{"className":2048,"style":1330},[656],[572,2050],{"className":2051,"style":1355},[1354],[572,2053,2054,2057],{"style":1358},[572,2055],{"className":2056,"style":1330},[656],[572,2058,2060,2065,2068],{"className":2059},[630],[572,2061,788,2063],{"className":2062},[787],[572,2064,792],{"style":791},[572,2066],{"className":2067,"style":875},[672],[572,2069,607],{"className":2070},[630],[572,2072,1380],{"className":2073},[1379],[572,2075,2077],{"className":2076},[645],[572,2078,2080],{"className":2079,"style":1387},[649],[572,2081],{},[572,2083],{"className":2084},[829,1309],[572,2086],{"className":2087,"style":673},[672],[572,2089,1973],{"className":2090},[677],[572,2092],{"className":2093,"style":673},[672],[572,2095,2097,2101,2104,2112],{"className":2096},[621],[572,2098],{"className":2099,"style":2100},[625],"height:0.8389em;vertical-align:-0.1944em;",[572,2102,1676],{"className":2103},[630],[572,2105,2107],{"className":2106},[630],[572,2108,2111],{"className":2109},[2110],"mpunct",",",[572,2113,2115],{"className":2114},[630],"7268",[564,2117,2118,2119,2148,2149,2194,2195,2224],{},"Ein Bestand von ",[572,2120,2122,2136],{"className":2121},[575],[572,2123,2125],{"className":2124},[579],[581,2126,2127],{"xmlns":583},[585,2128,2129,2134],{},[588,2130,2131],{},[594,2132,2133],{},"500",[609,2135,2133],{"encoding":611},[572,2137,2139],{"className":2138,"ariaHidden":617},[616],[572,2140,2142,2145],{"className":2141},[621],[572,2143],{"className":2144,"style":687},[625],[572,2146,2133],{"className":2147},[630]," Tieren wächst jedes Jahr um ",[572,2150,2152,2175],{"className":2151},[575],[572,2153,2155],{"className":2154},[579],[581,2156,2157],{"xmlns":583},[585,2158,2159,2172],{},[588,2160,2161,2164,2168],{},[594,2162,2163],{},"4",[2165,2166,2167],"mtext",{}," ",[598,2169,2171],{"mathvariant":2170},"normal","%",[609,2173,2174],{"encoding":611},"4\\,\\%",[572,2176,2178],{"className":2177,"ariaHidden":617},[616],[572,2179,2181,2185,2188,2191],{"className":2180},[621],[572,2182],{"className":2183,"style":2184},[625],"height:0.8056em;vertical-align:-0.0556em;",[572,2186,2163],{"className":2187},[630],[572,2189],{"className":2190,"style":875},[672],[572,2192,2171],{"className":2193},[630],". Wann sind es ",[572,2196,2198,2212],{"className":2197},[575],[572,2199,2201],{"className":2200},[579],[581,2202,2203],{"xmlns":583},[585,2204,2205,2210],{},[588,2206,2207],{},[594,2208,2209],{},"800",[609,2211,2209],{"encoding":611},[572,2213,2215],{"className":2214,"ariaHidden":617},[616],[572,2216,2218,2221],{"className":2217},[621],[572,2219],{"className":2220,"style":687},[625],[572,2222,2209],{"className":2223},[630]," Tiere?",[572,2226,2228],{"className":2227},[1935],[572,2229,2231,2310],{"className":2230},[575],[572,2232,2234],{"className":2233},[579],[581,2235,2236],{"xmlns":583,"display":1944},[585,2237,2238,2307],{},[588,2239,2240,2242,2244,2251,2253,2255,2258,2261,2263,2269,2271,2274,2276,2278,2280,2282,2284,2302,2304],{},[594,2241,2133],{},[602,2243,764],{},[591,2245,2246,2249],{},[594,2247,2248],{},"1,04",[598,2250,600],{},[602,2252,604],{},[594,2254,2209],{},[2165,2256,2257],{},"  ",[602,2259,2260],{},"⇒",[2165,2262,2257],{},[591,2264,2265,2267],{},[594,2266,2248],{},[598,2268,600],{},[602,2270,604],{},[594,2272,2273],{},"1,6",[2165,2275,2257],{},[602,2277,2260],{},[2165,2279,2257],{},[598,2281,600],{},[602,2283,604],{},[1254,2285,2286,2294],{},[588,2287,2288,2290,2292],{},[598,2289,740],{},[602,2291,743],{},[594,2293,2273],{},[588,2295,2296,2298,2300],{},[598,2297,740],{},[602,2299,743],{},[594,2301,2248],{},[602,2303,1973],{},[594,2305,2306],{},"11,98",[609,2308,2309],{"encoding":611},"500 \\cdot 1{,}04^x = 800\n\\;\\Rightarrow\\;\n1{,}04^x = 1{,}6\n\\;\\Rightarrow\\;\nx = \\frac{\\lg 1{,}6}{\\lg 1{,}04} \\approx 11{,}98",[572,2311,2313,2331,2391,2415,2471,2505,2523,2635],{"className":2312,"ariaHidden":617},[616],[572,2314,2316,2319,2322,2325,2328],{"className":2315},[621],[572,2317],{"className":2318,"style":687},[625],[572,2320,2133],{"className":2321},[630],[572,2323],{"className":2324,"style":852},[672],[572,2326,764],{"className":2327},[856],[572,2329],{"className":2330,"style":852},[672],[572,2332,2334,2338,2342,2348,2351,2382,2385,2388],{"className":2333},[621],[572,2335],{"className":2336,"style":2337},[625],"height:0.9088em;vertical-align:-0.1944em;",[572,2339,2341],{"className":2340},[630],"1",[572,2343,2345],{"className":2344},[630],[572,2346,2111],{"className":2347},[2110],[572,2349,1252],{"className":2350},[630],[572,2352,2354,2357],{"className":2353},[630],[572,2355,2163],{"className":2356},[630],[572,2358,2360],{"className":2359},[637],[572,2361,2363],{"className":2362},[641],[572,2364,2366],{"className":2365},[645],[572,2367,2370],{"className":2368,"style":2369},[649],"height:0.7144em;",[572,2371,2373,2376],{"style":2372},"top:-3.113em;margin-right:0.05em;",[572,2374],{"className":2375,"style":657},[656],[572,2377,2379],{"className":2378},[661,662,663,664],[572,2380,600],{"className":2381},[630,668,664],[572,2383],{"className":2384,"style":673},[672],[572,2386,604],{"className":2387},[677],[572,2389],{"className":2390,"style":673},[672],[572,2392,2394,2397,2400,2403,2406,2409,2412],{"className":2393},[621],[572,2395],{"className":2396,"style":687},[625],[572,2398,2209],{"className":2399},[630],[572,2401],{"className":2402,"style":673},[672],[572,2404],{"className":2405,"style":673},[672],[572,2407,2260],{"className":2408},[677],[572,2410],{"className":2411,"style":673},[672],[572,2413],{"className":2414,"style":673},[672],[572,2416,2418,2421,2424,2430,2433,2462,2465,2468],{"className":2417},[621],[572,2419],{"className":2420,"style":2337},[625],[572,2422,2341],{"className":2423},[630],[572,2425,2427],{"className":2426},[630],[572,2428,2111],{"className":2429},[2110],[572,2431,1252],{"className":2432},[630],[572,2434,2436,2439],{"className":2435},[630],[572,2437,2163],{"className":2438},[630],[572,2440,2442],{"className":2441},[637],[572,2443,2445],{"className":2444},[641],[572,2446,2448],{"className":2447},[645],[572,2449,2451],{"className":2450,"style":2369},[649],[572,2452,2453,2456],{"style":2372},[572,2454],{"className":2455,"style":657},[656],[572,2457,2459],{"className":2458},[661,662,663,664],[572,2460,600],{"className":2461},[630,668,664],[572,2463],{"className":2464,"style":673},[672],[572,2466,604],{"className":2467},[677],[572,2469],{"className":2470,"style":673},[672],[572,2472,2474,2477,2480,2486,2490,2493,2496,2499,2502],{"className":2473},[621],[572,2475],{"className":2476,"style":2100},[625],[572,2478,2341],{"className":2479},[630],[572,2481,2483],{"className":2482},[630],[572,2484,2111],{"className":2485},[2110],[572,2487,2489],{"className":2488},[630],"6",[572,2491],{"className":2492,"style":673},[672],[572,2494],{"className":2495,"style":673},[672],[572,2497,2260],{"className":2498},[677],[572,2500],{"className":2501,"style":673},[672],[572,2503],{"className":2504,"style":673},[672],[572,2506,2508,2511,2514,2517,2520],{"className":2507},[621],[572,2509],{"className":2510,"style":717},[625],[572,2512,600],{"className":2513},[630,668],[572,2515],{"className":2516,"style":673},[672],[572,2518,604],{"className":2519},[677],[572,2521],{"className":2522,"style":673},[672],[572,2524,2526,2529,2626,2629,2632],{"className":2525},[621],[572,2527],{"className":2528,"style":1302},[625],[572,2530,2532,2535,2623],{"className":2531},[630],[572,2533],{"className":2534},[796,1309],[572,2536,2538],{"className":2537},[1254],[572,2539,2541,2615],{"className":2540},[641,1316],[572,2542,2544,2612],{"className":2543},[645],[572,2545,2547,2576,2584],{"className":2546,"style":1323},[649],[572,2548,2549,2552],{"style":1326},[572,2550],{"className":2551,"style":1330},[656],[572,2553,2555,2560,2563,2566,2572],{"className":2554},[630],[572,2556,788,2558],{"className":2557},[787],[572,2559,792],{"style":791},[572,2561],{"className":2562,"style":875},[672],[572,2564,2341],{"className":2565},[630],[572,2567,2569],{"className":2568},[630],[572,2570,2111],{"className":2571},[2110],[572,2573,2575],{"className":2574},[630],"04",[572,2577,2578,2581],{"style":1347},[572,2579],{"className":2580,"style":1330},[656],[572,2582],{"className":2583,"style":1355},[1354],[572,2585,2586,2589],{"style":1358},[572,2587],{"className":2588,"style":1330},[656],[572,2590,2592,2597,2600,2603,2609],{"className":2591},[630],[572,2593,788,2595],{"className":2594},[787],[572,2596,792],{"style":791},[572,2598],{"className":2599,"style":875},[672],[572,2601,2341],{"className":2602},[630],[572,2604,2606],{"className":2605},[630],[572,2607,2111],{"className":2608},[2110],[572,2610,2489],{"className":2611},[630],[572,2613,1380],{"className":2614},[1379],[572,2616,2618],{"className":2617},[645],[572,2619,2621],{"className":2620,"style":1387},[649],[572,2622],{},[572,2624],{"className":2625},[829,1309],[572,2627],{"className":2628,"style":673},[672],[572,2630,1973],{"className":2631},[677],[572,2633],{"className":2634,"style":673},[672],[572,2636,2638,2641,2645,2651],{"className":2637},[621],[572,2639],{"className":2640,"style":2100},[625],[572,2642,2644],{"className":2643},[630],"11",[572,2646,2648],{"className":2647},[630],[572,2649,2111],{"className":2650},[2110],[572,2652,2654],{"className":2653},[630],"98",[564,2656,2657,2658,2687,2688,2716],{},"Nach knapp ",[572,2659,2661,2675],{"className":2660},[575],[572,2662,2664],{"className":2663},[579],[581,2665,2666],{"xmlns":583},[585,2667,2668,2673],{},[588,2669,2670],{},[594,2671,2672],{},"12",[609,2674,2672],{"encoding":611},[572,2676,2678],{"className":2677,"ariaHidden":617},[616],[572,2679,2681,2684],{"className":2680},[621],[572,2682],{"className":2683,"style":687},[625],[572,2685,2672],{"className":2686},[630]," Jahren ist der Bestand auf ",[572,2689,2691,2704],{"className":2690},[575],[572,2692,2694],{"className":2693},[579],[581,2695,2696],{"xmlns":583},[585,2697,2698,2702],{},[588,2699,2700],{},[594,2701,2209],{},[609,2703,2209],{"encoding":611},[572,2705,2707],{"className":2706,"ariaHidden":617},[616],[572,2708,2710,2713],{"className":2709},[621],[572,2711],{"className":2712,"style":687},[625],[572,2714,2209],{"className":2715},[630]," Tiere gewachsen.",[564,2718,2719,2720],{},"Unbekannte auf beiden Seiten: ",[572,2721,2723,2756],{"className":2722},[575],[572,2724,2726],{"className":2725},[579],[581,2727,2728],{"xmlns":583},[585,2729,2730,2753],{},[588,2731,2732,2745,2747],{},[591,2733,2734,2736],{},[594,2735,1676],{},[588,2737,2738,2740,2743],{},[598,2739,600],{},[602,2741,2742],{},"+",[594,2744,2341],{},[602,2746,604],{},[591,2748,2749,2751],{},[594,2750,1692],{},[598,2752,600],{},[609,2754,2755],{"encoding":611},"2^{x+1} = 5^x",[572,2757,2759,2812],{"className":2758,"ariaHidden":617},[616],[572,2760,2762,2765,2803,2806,2809],{"className":2761},[621],[572,2763],{"className":2764,"style":1767},[625],[572,2766,2768,2771],{"className":2767},[630],[572,2769,1676],{"className":2770},[630],[572,2772,2774],{"className":2773},[637],[572,2775,2777],{"className":2776},[641],[572,2778,2780],{"className":2779},[645],[572,2781,2783],{"className":2782,"style":1767},[649],[572,2784,2785,2788],{"style":652},[572,2786],{"className":2787,"style":657},[656],[572,2789,2791],{"className":2790},[661,662,663,664],[572,2792,2794,2797,2800],{"className":2793},[630,664],[572,2795,600],{"className":2796},[630,668,664],[572,2798,2742],{"className":2799},[856,664],[572,2801,2341],{"className":2802},[630,664],[572,2804],{"className":2805,"style":673},[672],[572,2807,604],{"className":2808},[677],[572,2810],{"className":2811,"style":673},[672],[572,2813,2815,2818],{"className":2814},[621],[572,2816],{"className":2817,"style":626},[625],[572,2819,2821,2824],{"className":2820},[630],[572,2822,1692],{"className":2823},[630],[572,2825,2827],{"className":2826},[637],[572,2828,2830],{"className":2829},[641],[572,2831,2833],{"className":2832},[645],[572,2834,2836],{"className":2835,"style":626},[649],[572,2837,2838,2841],{"style":652},[572,2839],{"className":2840,"style":657},[656],[572,2842,2844],{"className":2843},[661,662,663,664],[572,2845,600],{"className":2846},[630,668,664],[572,2848,2850],{"className":2849},[1935],[572,2851,2853,2967],{"className":2852},[575],[572,2854,2856],{"className":2855},[579],[581,2857,2858],{"xmlns":583,"display":1944},[585,2859,2860,2964],{},[588,2861,2862,2864,2866,2868,2870,2872,2874,2876,2878,2880,2882,2884,2886,2888,2890,2892,2894,2896,2898,2900,2902,2904,2906,2908,2910,2912,2915,2917,2919,2921,2923,2925,2927,2929,2931,2933,2959,2961],{},[602,2863,747],{"stretchy":746},[598,2865,600],{},[602,2867,2742],{},[594,2869,2341],{},[602,2871,757],{"stretchy":746},[598,2873,740],{},[602,2875,743],{},[594,2877,1676],{},[602,2879,604],{},[598,2881,600],{},[598,2883,740],{},[602,2885,743],{},[594,2887,1692],{},[2165,2889,2257],{},[602,2891,2260],{},[2165,2893,2257],{},[598,2895,740],{},[602,2897,743],{},[594,2899,1676],{},[602,2901,604],{},[598,2903,600],{},[602,2905,747],{"stretchy":746},[598,2907,740],{},[602,2909,743],{},[594,2911,1692],{},[602,2913,2914],{},"−",[598,2916,740],{},[602,2918,743],{},[594,2920,1676],{},[602,2922,757],{"stretchy":746},[2165,2924,2257],{},[602,2926,2260],{},[2165,2928,2257],{},[598,2930,600],{},[602,2932,604],{},[1254,2934,2935,2943],{},[588,2936,2937,2939,2941],{},[598,2938,740],{},[602,2940,743],{},[594,2942,1676],{},[588,2944,2945,2947,2949,2951,2953,2955,2957],{},[598,2946,740],{},[602,2948,743],{},[594,2950,1692],{},[602,2952,2914],{},[598,2954,740],{},[602,2956,743],{},[594,2958,1676],{},[602,2960,1973],{},[594,2962,2963],{},"0,7565",[609,2965,2966],{"encoding":611},"(x+1)\\lg 2 = x \\lg 5\n\\;\\Rightarrow\\;\n\\lg 2 = x(\\lg 5 - \\lg 2)\n\\;\\Rightarrow\\;\nx = \\frac{\\lg 2}{\\lg 5 - \\lg 2} \\approx 0{,}7565",[572,2968,2970,2991,3026,3064,3090,3122,3157,3175,3288],{"className":2969,"ariaHidden":617},[616],[572,2971,2973,2976,2979,2982,2985,2988],{"className":2972},[621],[572,2974],{"className":2975,"style":783},[625],[572,2977,747],{"className":2978},[796],[572,2980,600],{"className":2981},[630,668],[572,2983],{"className":2984,"style":852},[672],[572,2986,2742],{"className":2987},[856],[572,2989],{"className":2990,"style":852},[672],[572,2992,2994,2997,3000,3003,3006,3011,3014,3017,3020,3023],{"className":2993},[621],[572,2995],{"className":2996,"style":783},[625],[572,2998,2341],{"className":2999},[630],[572,3001,757],{"className":3002},[829],[572,3004],{"className":3005,"style":875},[672],[572,3007,788,3009],{"className":3008},[787],[572,3010,792],{"style":791},[572,3012],{"className":3013,"style":875},[672],[572,3015,1676],{"className":3016},[630],[572,3018],{"className":3019,"style":673},[672],[572,3021,604],{"className":3022},[677],[572,3024],{"className":3025,"style":673},[672],[572,3027,3029,3032,3035,3038,3043,3046,3049,3052,3055,3058,3061],{"className":3028},[621],[572,3030],{"className":3031,"style":866},[625],[572,3033,600],{"className":3034},[630,668],[572,3036],{"className":3037,"style":875},[672],[572,3039,788,3041],{"className":3040},[787],[572,3042,792],{"style":791},[572,3044],{"className":3045,"style":875},[672],[572,3047,1692],{"className":3048},[630],[572,3050],{"className":3051,"style":673},[672],[572,3053],{"className":3054,"style":673},[672],[572,3056,2260],{"className":3057},[677],[572,3059],{"className":3060,"style":673},[672],[572,3062],{"className":3063,"style":673},[672],[572,3065,3067,3070,3075,3078,3081,3084,3087],{"className":3066},[621],[572,3068],{"className":3069,"style":866},[625],[572,3071,788,3073],{"className":3072},[787],[572,3074,792],{"style":791},[572,3076],{"className":3077,"style":875},[672],[572,3079,1676],{"className":3080},[630],[572,3082],{"className":3083,"style":673},[672],[572,3085,604],{"className":3086},[677],[572,3088],{"className":3089,"style":673},[672],[572,3091,3093,3096,3099,3102,3107,3110,3113,3116,3119],{"className":3092},[621],[572,3094],{"className":3095,"style":783},[625],[572,3097,600],{"className":3098},[630,668],[572,3100,747],{"className":3101},[796],[572,3103,788,3105],{"className":3104},[787],[572,3106,792],{"style":791},[572,3108],{"className":3109,"style":875},[672],[572,3111,1692],{"className":3112},[630],[572,3114],{"className":3115,"style":852},[672],[572,3117,2914],{"className":3118},[856],[572,3120],{"className":3121,"style":852},[672],[572,3123,3125,3128,3133,3136,3139,3142,3145,3148,3151,3154],{"className":3124},[621],[572,3126],{"className":3127,"style":783},[625],[572,3129,788,3131],{"className":3130},[787],[572,3132,792],{"style":791},[572,3134],{"className":3135,"style":875},[672],[572,3137,1676],{"className":3138},[630],[572,3140,757],{"className":3141},[829],[572,3143],{"className":3144,"style":673},[672],[572,3146],{"className":3147,"style":673},[672],[572,3149,2260],{"className":3150},[677],[572,3152],{"className":3153,"style":673},[672],[572,3155],{"className":3156,"style":673},[672],[572,3158,3160,3163,3166,3169,3172],{"className":3159},[621],[572,3161],{"className":3162,"style":717},[625],[572,3164,600],{"className":3165},[630,668],[572,3167],{"className":3168,"style":673},[672],[572,3170,604],{"className":3171},[677],[572,3173],{"className":3174,"style":673},[672],[572,3176,3178,3181,3279,3282,3285],{"className":3177},[621],[572,3179],{"className":3180,"style":1302},[625],[572,3182,3184,3187,3276],{"className":3183},[630],[572,3185],{"className":3186},[796,1309],[572,3188,3190],{"className":3189},[1254],[572,3191,3193,3268],{"className":3192},[641,1316],[572,3194,3196,3265],{"className":3195},[645],[572,3197,3199,3238,3246],{"className":3198,"style":1323},[649],[572,3200,3201,3204],{"style":1326},[572,3202],{"className":3203,"style":1330},[656],[572,3205,3207,3212,3215,3218,3221,3224,3227,3232,3235],{"className":3206},[630],[572,3208,788,3210],{"className":3209},[787],[572,3211,792],{"style":791},[572,3213],{"className":3214,"style":875},[672],[572,3216,1692],{"className":3217},[630],[572,3219],{"className":3220,"style":852},[672],[572,3222,2914],{"className":3223},[856],[572,3225],{"className":3226,"style":852},[672],[572,3228,788,3230],{"className":3229},[787],[572,3231,792],{"style":791},[572,3233],{"className":3234,"style":875},[672],[572,3236,1676],{"className":3237},[630],[572,3239,3240,3243],{"style":1347},[572,3241],{"className":3242,"style":1330},[656],[572,3244],{"className":3245,"style":1355},[1354],[572,3247,3248,3251],{"style":1358},[572,3249],{"className":3250,"style":1330},[656],[572,3252,3254,3259,3262],{"className":3253},[630],[572,3255,788,3257],{"className":3256},[787],[572,3258,792],{"style":791},[572,3260],{"className":3261,"style":875},[672],[572,3263,1676],{"className":3264},[630],[572,3266,1380],{"className":3267},[1379],[572,3269,3271],{"className":3270},[645],[572,3272,3274],{"className":3273,"style":1387},[649],[572,3275],{},[572,3277],{"className":3278},[829,1309],[572,3280],{"className":3281,"style":673},[672],[572,3283,1973],{"className":3284},[677],[572,3286],{"className":3287,"style":673},[672],[572,3289,3291,3294,3297,3303],{"className":3290},[621],[572,3292],{"className":3293,"style":2100},[625],[572,3295,1252],{"className":3296},[630],[572,3298,3300],{"className":3299},[630],[572,3301,2111],{"className":3302},[2110],[572,3304,3306],{"className":3305},[630],"7565",[559,3308,3310],{"id":3309},"typische-fehler","Typische Fehler",[3312,3313,3314,3554,3853],"ul",{},[887,3315,3316,3317,3429,3430,3524,3525,3553],{},"Logarithmieren, bevor die Potenz allein steht: ",[572,3318,3320,3350],{"className":3319},[575],[572,3321,3323],{"className":3322},[579],[581,3324,3325],{"xmlns":583},[585,3326,3327,3347],{},[588,3328,3329,3331,3333,3335,3337,3339,3345],{},[598,3330,740],{},[602,3332,743],{},[602,3334,747],{"stretchy":746},[594,3336,2133],{},[602,3338,764],{},[591,3340,3341,3343],{},[594,3342,2248],{},[598,3344,600],{},[602,3346,757],{"stretchy":746},[609,3348,3349],{"encoding":611},"\\lg(500 \\cdot 1{,}04^x)",[572,3351,3353,3379],{"className":3352,"ariaHidden":617},[616],[572,3354,3356,3359,3364,3367,3370,3373,3376],{"className":3355},[621],[572,3357],{"className":3358,"style":783},[625],[572,3360,788,3362],{"className":3361},[787],[572,3363,792],{"style":791},[572,3365,747],{"className":3366},[796],[572,3368,2133],{"className":3369},[630],[572,3371],{"className":3372,"style":852},[672],[572,3374,764],{"className":3375},[856],[572,3377],{"className":3378,"style":852},[672],[572,3380,3382,3385,3388,3394,3397,3426],{"className":3381},[621],[572,3383],{"className":3384,"style":783},[625],[572,3386,2341],{"className":3387},[630],[572,3389,3391],{"className":3390},[630],[572,3392,2111],{"className":3393},[2110],[572,3395,1252],{"className":3396},[630],[572,3398,3400,3403],{"className":3399},[630],[572,3401,2163],{"className":3402},[630],[572,3404,3406],{"className":3405},[637],[572,3407,3409],{"className":3408},[641],[572,3410,3412],{"className":3411},[645],[572,3413,3415],{"className":3414,"style":626},[649],[572,3416,3417,3420],{"style":652},[572,3418],{"className":3419,"style":657},[656],[572,3421,3423],{"className":3422},[661,662,663,664],[572,3424,600],{"className":3425},[630,668,664],[572,3427,757],{"className":3428},[829]," ist nicht ",[572,3431,3433,3459],{"className":3432},[575],[572,3434,3436],{"className":3435},[579],[581,3437,3438],{"xmlns":583},[585,3439,3440,3456],{},[588,3441,3442,3444,3446,3448,3450,3452,3454],{},[594,3443,2133],{},[602,3445,764],{},[598,3447,600],{},[602,3449,764],{},[598,3451,740],{},[602,3453,743],{},[594,3455,2248],{},[609,3457,3458],{"encoding":611},"500 \\cdot x \\cdot \\lg 1{,}04",[572,3460,3462,3480,3498],{"className":3461,"ariaHidden":617},[616],[572,3463,3465,3468,3471,3474,3477],{"className":3464},[621],[572,3466],{"className":3467,"style":687},[625],[572,3469,2133],{"className":3470},[630],[572,3472],{"className":3473,"style":852},[672],[572,3475,764],{"className":3476},[856],[572,3478],{"className":3479,"style":852},[672],[572,3481,3483,3486,3489,3492,3495],{"className":3482},[621],[572,3484],{"className":3485,"style":845},[625],[572,3487,600],{"className":3488},[630,668],[572,3490],{"className":3491,"style":852},[672],[572,3493,764],{"className":3494},[856],[572,3496],{"className":3497,"style":852},[672],[572,3499,3501,3504,3509,3512,3515,3521],{"className":3500},[621],[572,3502],{"className":3503,"style":866},[625],[572,3505,788,3507],{"className":3506},[787],[572,3508,792],{"style":791},[572,3510],{"className":3511,"style":875},[672],[572,3513,2341],{"className":3514},[630],[572,3516,3518],{"className":3517},[630],[572,3519,2111],{"className":3520},[2110],[572,3522,2575],{"className":3523},[630],". Erst durch ",[572,3526,3528,3541],{"className":3527},[575],[572,3529,3531],{"className":3530},[579],[581,3532,3533],{"xmlns":583},[585,3534,3535,3539],{},[588,3536,3537],{},[594,3538,2133],{},[609,3540,2133],{"encoding":611},[572,3542,3544],{"className":3543,"ariaHidden":617},[616],[572,3545,3547,3550],{"className":3546},[621],[572,3548],{"className":3549,"style":687},[625],[572,3551,2133],{"className":3552},[630]," teilen.",[887,3555,3556,3557,3710,3711,879],{},"Den Bruch der Logarithmen mit dem Logarithmus des Bruchs verwechseln: ",[572,3558,3560,3596],{"className":3559},[575],[572,3561,3563],{"className":3562},[579],[581,3564,3565],{"xmlns":583},[585,3566,3567,3593],{},[588,3568,3569,3589,3591],{},[1250,3570,3571],{"scriptlevel":1252,"displaystyle":617},[1254,3572,3573,3581],{},[588,3574,3575,3577,3579],{},[598,3576,740],{},[602,3578,743],{},[594,3580,607],{},[588,3582,3583,3585,3587],{},[598,3584,740],{},[602,3586,743],{},[594,3588,596],{},[602,3590,1973],{},[594,3592,1976],{},[609,3594,3595],{"encoding":611},"\\dfrac{\\lg 20}{\\lg 3} \\approx 2{,}7268",[572,3597,3599,3692],{"className":3598,"ariaHidden":617},[616],[572,3600,3602,3605,3683,3686,3689],{"className":3601},[621],[572,3603],{"className":3604,"style":1302},[625],[572,3606,3608,3611,3680],{"className":3607},[630],[572,3609],{"className":3610},[796,1309],[572,3612,3614],{"className":3613},[1254],[572,3615,3617,3672],{"className":3616},[641,1316],[572,3618,3620,3669],{"className":3619},[645],[572,3621,3623,3642,3650],{"className":3622,"style":1323},[649],[572,3624,3625,3628],{"style":1326},[572,3626],{"className":3627,"style":1330},[656],[572,3629,3631,3636,3639],{"className":3630},[630],[572,3632,788,3634],{"className":3633},[787],[572,3635,792],{"style":791},[572,3637],{"className":3638,"style":875},[672],[572,3640,596],{"className":3641},[630],[572,3643,3644,3647],{"style":1347},[572,3645],{"className":3646,"style":1330},[656],[572,3648],{"className":3649,"style":1355},[1354],[572,3651,3652,3655],{"style":1358},[572,3653],{"className":3654,"style":1330},[656],[572,3656,3658,3663,3666],{"className":3657},[630],[572,3659,788,3661],{"className":3660},[787],[572,3662,792],{"style":791},[572,3664],{"className":3665,"style":875},[672],[572,3667,607],{"className":3668},[630],[572,3670,1380],{"className":3671},[1379],[572,3673,3675],{"className":3674},[645],[572,3676,3678],{"className":3677,"style":1387},[649],[572,3679],{},[572,3681],{"className":3682},[829,1309],[572,3684],{"className":3685,"style":673},[672],[572,3687,1973],{"className":3688},[677],[572,3690],{"className":3691,"style":673},[672],[572,3693,3695,3698,3701,3707],{"className":3694},[621],[572,3696],{"className":3697,"style":2100},[625],[572,3699,1676],{"className":3700},[630],[572,3702,3704],{"className":3703},[630],[572,3705,2111],{"className":3706},[2110],[572,3708,2115],{"className":3709},[630],", aber ",[572,3712,3714,3743],{"className":3713},[575],[572,3715,3717],{"className":3716},[579],[581,3718,3719],{"xmlns":583},[585,3720,3721,3740],{},[588,3722,3723,3725,3727,3735,3737],{},[598,3724,740],{},[602,3726,743],{},[1250,3728,3729],{"scriptlevel":1252,"displaystyle":617},[1254,3730,3731,3733],{},[594,3732,607],{},[594,3734,596],{},[602,3736,1973],{},[594,3738,3739],{},"0,8239",[609,3741,3742],{"encoding":611},"\\lg\\dfrac{20}{3} \\approx 0{,}8239",[572,3744,3746,3834],{"className":3745,"ariaHidden":617},[616],[572,3747,3749,3753,3758,3761,3825,3828,3831],{"className":3748},[621],[572,3750],{"className":3751,"style":3752},[625],"height:2.0074em;vertical-align:-0.686em;",[572,3754,788,3756],{"className":3755},[787],[572,3757,792],{"style":791},[572,3759],{"className":3760,"style":875},[672],[572,3762,3764,3767,3822],{"className":3763},[630],[572,3765],{"className":3766},[796,1309],[572,3768,3770],{"className":3769},[1254],[572,3771,3773,3813],{"className":3772},[641,1316],[572,3774,3776,3810],{"className":3775},[645],[572,3777,3780,3791,3799],{"className":3778,"style":3779},[649],"height:1.3214em;",[572,3781,3782,3785],{"style":1326},[572,3783],{"className":3784,"style":1330},[656],[572,3786,3788],{"className":3787},[630],[572,3789,596],{"className":3790},[630],[572,3792,3793,3796],{"style":1347},[572,3794],{"className":3795,"style":1330},[656],[572,3797],{"className":3798,"style":1355},[1354],[572,3800,3801,3804],{"style":1358},[572,3802],{"className":3803,"style":1330},[656],[572,3805,3807],{"className":3806},[630],[572,3808,607],{"className":3809},[630],[572,3811,1380],{"className":3812},[1379],[572,3814,3816],{"className":3815},[645],[572,3817,3820],{"className":3818,"style":3819},[649],"height:0.686em;",[572,3821],{},[572,3823],{"className":3824},[829,1309],[572,3826],{"className":3827,"style":673},[672],[572,3829,1973],{"className":3830},[677],[572,3832],{"className":3833,"style":673},[672],[572,3835,3837,3840,3843,3849],{"className":3836},[621],[572,3838],{"className":3839,"style":2100},[625],[572,3841,1252],{"className":3842},[630],[572,3844,3846],{"className":3845},[630],[572,3847,2111],{"className":3848},[2110],[572,3850,3852],{"className":3851},[630],"8239",[887,3854,3855,3856,3936,3937,3987,3988,4075],{},"Eine Lösung für ",[572,3857,3859,3880],{"className":3858},[575],[572,3860,3862],{"className":3861},[579],[581,3863,3864],{"xmlns":583},[585,3865,3866,3878],{},[588,3867,3868,3874,3876],{},[591,3869,3870,3872],{},[598,3871,752],{},[598,3873,600],{},[602,3875,604],{},[598,3877,912],{},[609,3879,915],{"encoding":611},[572,3881,3883,3927],{"className":3882,"ariaHidden":617},[616],[572,3884,3886,3889,3918,3921,3924],{"className":3885},[621],[572,3887],{"className":3888,"style":626},[625],[572,3890,3892,3895],{"className":3891},[630],[572,3893,752],{"className":3894},[630,668],[572,3896,3898],{"className":3897},[637],[572,3899,3901],{"className":3900},[641],[572,3902,3904],{"className":3903},[645],[572,3905,3907],{"className":3906,"style":626},[649],[572,3908,3909,3912],{"style":652},[572,3910],{"className":3911,"style":657},[656],[572,3913,3915],{"className":3914},[661,662,663,664],[572,3916,600],{"className":3917},[630,668,664],[572,3919],{"className":3920,"style":673},[672],[572,3922,604],{"className":3923},[677],[572,3925],{"className":3926,"style":673},[672],[572,3928,3930,3933],{"className":3929},[621],[572,3931],{"className":3932,"style":969},[625],[572,3934,912],{"className":3935},[630,668]," mit ",[572,3938,3940,3957],{"className":3939},[575],[572,3941,3943],{"className":3942},[579],[581,3944,3945],{"xmlns":583},[585,3946,3947,3955],{},[588,3948,3949,3951,3953],{},[598,3950,912],{},[602,3952,1474],{},[594,3954,1252],{},[609,3956,1479],{"encoding":611},[572,3958,3960,3978],{"className":3959,"ariaHidden":617},[616],[572,3961,3963,3966,3969,3972,3975],{"className":3962},[621],[572,3964],{"className":3965,"style":1489},[625],[572,3967,912],{"className":3968},[630,668],[572,3970],{"className":3971,"style":673},[672],[572,3973,1474],{"className":3974},[677],[572,3976],{"className":3977,"style":673},[672],[572,3979,3981,3984],{"className":3980},[621],[572,3982],{"className":3983,"style":687},[625],[572,3985,1252],{"className":3986},[630]," suchen, z.B. bei ",[572,3989,3991,4015],{"className":3990},[575],[572,3992,3994],{"className":3993},[579],[581,3995,3996],{"xmlns":583},[585,3997,3998,4012],{},[588,3999,4000,4006,4008,4010],{},[591,4001,4002,4004],{},[594,4003,1676],{},[598,4005,600],{},[602,4007,604],{},[602,4009,2914],{},[594,4011,2163],{},[609,4013,4014],{"encoding":611},"2^x = -4",[572,4016,4018,4062],{"className":4017,"ariaHidden":617},[616],[572,4019,4021,4024,4053,4056,4059],{"className":4020},[621],[572,4022],{"className":4023,"style":626},[625],[572,4025,4027,4030],{"className":4026},[630],[572,4028,1676],{"className":4029},[630],[572,4031,4033],{"className":4032},[637],[572,4034,4036],{"className":4035},[641],[572,4037,4039],{"className":4038},[645],[572,4040,4042],{"className":4041,"style":626},[649],[572,4043,4044,4047],{"style":652},[572,4045],{"className":4046,"style":657},[656],[572,4048,4050],{"className":4049},[661,662,663,664],[572,4051,600],{"className":4052},[630,668,664],[572,4054],{"className":4055,"style":673},[672],[572,4057,604],{"className":4058},[677],[572,4060],{"className":4061,"style":673},[672],[572,4063,4065,4069,4072],{"className":4064},[621],[572,4066],{"className":4067,"style":4068},[625],"height:0.7278em;vertical-align:-0.0833em;",[572,4070,2914],{"className":4071},[630],[572,4073,2163],{"className":4074},[630],". Diese Gleichung hat keine Lösung.",{"title":4077,"searchDepth":4078,"depth":4078,"links":4079},"",2,[4080,4081,4082],{"id":561,"depth":4078,"text":562},{"id":1655,"depth":4078,"text":1656},{"id":3309,"depth":4078,"text":3310},[4084,4086,4088,4090,4093,4096,4098,4101,4104,4107],{"lhs":4085,"rhs":1683},"2^5",{"lhs":4087,"rhs":1692},"log(32, 2)",{"lhs":4089,"rhs":607},"3^(log10(20) \u002F log10(3))",{"lhs":4091,"rhs":4092},"round(log10(20) \u002F log10(3), 4)","2.7268",{"lhs":4094,"rhs":4095},"800 \u002F 500","1.6",{"lhs":4097,"rhs":2209},"500 * 1.04^(log10(1.6) \u002F log10(1.04))",{"lhs":4099,"rhs":4100},"round(log10(1.6) \u002F log10(1.04), 2)","11.98",{"lhs":4102,"rhs":4103},"2^(log10(2) \u002F (log10(5) - log10(2)) + 1)","5^(log10(2) \u002F (log10(5) - log10(2)))",{"lhs":4105,"rhs":4106},"round(log10(2) \u002F (log10(5) - log10(2)), 4)","0.7565",{"lhs":4108,"rhs":4109},"round(log10(20 \u002F 3), 4)","0.8239","a > 0,\\ a \\neq 1,\\ b > 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a > 0,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a \\neq 1,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">b > 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7335em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","exponential-equation","a^x = b \\;\\Leftrightarrow\\; x = \\log_a b = \\frac{\\lg b}{\\lg a}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" 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