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0",[572,1161,1163,1226],{"className":1162,"ariaHidden":602},[601],[572,1164,1166,1169,1211,1214,1217,1220,1223],{"className":1165},[606],[572,1167],{"className":1168,"style":866},[610],[572,1170,1172,1177],{"className":1171},[835],[572,1173,873,1175],{"className":1174},[835],[572,1176,840],{"style":839},[572,1178,1180],{"className":1179},[879],[572,1181,1183,1203],{"className":1182},[883,884],[572,1184,1186,1200],{"className":1185},[888],[572,1187,1189],{"className":1188,"style":1027},[892],[572,1190,1191,1194],{"style":896},[572,1192],{"className":1193,"style":901},[900],[572,1195,1197],{"className":1196},[905,906,907,908],[572,1198,593],{"className":1199},[615,616,908],[572,1201,919],{"className":1202},[918],[572,1204,1206],{"className":1205},[888],[572,1207,1209],{"className":1208,"style":926},[892],[572,1210],{},[572,1212],{"className":1213,"style":845},[844],[572,1215,697],{"className":1216},[615],[572,1218],{"className":1219,"style":852},[844],[572,1221,804],{"className":1222},[856],[572,1224],{"className":1225,"style":852},[844],[572,1227,1229,1232],{"className":1228},[606],[572,1230],{"className":1231,"style":709},[610],[572,1233,757],{"className":1234},[615]," und ",[572,1237,1239,1267],{"className":1238},[575],[572,1240,1242],{"className":1241},[579],[581,1243,1244],{"xmlns":583},[585,1245,1246,1264],{},[588,1247,1248,1258,1260,1262],{},[806,1249,1250,1256],{},[588,1251,1252,1254],{},[591,1253,551],{},[797,1255,799],{},[591,1257,593],{},[591,1259,593],{},[797,1261,804],{},[695,1263,697],{},[595,1265,1266],{"encoding":597},"\\log_a a = 1",[572,1268,1270,1333],{"className":1269,"ariaHidden":602},[601],[572,1271,1273,1276,1318,1321,1324,1327,1330],{"className":1272},[606],[572,1274],{"className":1275,"style":866},[610],[572,1277,1279,1284],{"className":1278},[835],[572,1280,873,1282],{"className":1281},[835],[572,1283,840],{"style":839},[572,1285,1287],{"className":1286},[879],[572,1288,1290,1310],{"className":1289},[883,884],[572,1291,1293,1307],{"className":1292},[888],[572,1294,1296],{"className":1295,"style":1027},[892],[572,1297,1298,1301],{"style":896},[572,1299],{"className":1300,"style":901},[900],[572,1302,1304],{"className":1303},[905,906,907,908],[572,1305,593],{"className":1306},[615,616,908],[572,1308,919],{"className":1309},[918],[572,1311,1313],{"className":1312},[888],[572,1314,1316],{"className":1315,"style":926},[892],[572,1317],{},[572,1319],{"className":1320,"style":845},[844],[572,1322,593],{"className":1323},[615,616],[572,1325],{"className":1326,"style":852},[844],[572,1328,804],{"className":1329},[856],[572,1331],{"className":1332,"style":852},[844],[572,1334,1336,1339],{"className":1335},[606],[572,1337],{"className":1338,"style":709},[610],[572,1340,697],{"className":1341},[615],".",[559,1344,1346],{"id":1345},"beispiele","Beispiele",[572,1348,1351],{"className":1349},[1350],"katex-display",[572,1352,1354,1405],{"className":1353},[575],[572,1355,1357],{"className":1356},[579],[581,1358,1360],{"xmlns":583,"display":1359},"block",[585,1361,1362,1402],{},[588,1363,1364,1374,1377,1379,1382,1384,1387,1391,1398,1400],{},[806,1365,1366,1372],{},[588,1367,1368,1370],{},[591,1369,551],{},[797,1371,799],{},[695,1373,1112],{},[695,1375,1376],{},"8",[797,1378,804],{},[695,1380,1381],{},"3",[797,1383,1120],{"separator":602},[844,1385],{"width":1386},"1em",[1388,1389,1390],"mtext",{},"weil ",[1392,1393,1394,1396],"msup",{},[695,1395,1112],{},[695,1397,1381],{},[797,1399,804],{},[695,1401,1376],{},[595,1403,1404],{"encoding":597},"\\log_2 8 = 3, \\quad \\text{weil } 2^3 = 8",[572,1406,1408,1471,1538],{"className":1407,"ariaHidden":602},[601],[572,1409,1411,1414,1456,1459,1462,1465,1468],{"className":1410},[606],[572,1412],{"className":1413,"style":866},[610],[572,1415,1417,1422],{"className":1416},[835],[572,1418,873,1420],{"className":1419},[835],[572,1421,840],{"style":839},[572,1423,1425],{"className":1424},[879],[572,1426,1428,1448],{"className":1427},[883,884],[572,1429,1431,1445],{"className":1430},[888],[572,1432,1434],{"className":1433,"style":893},[892],[572,1435,1436,1439],{"style":896},[572,1437],{"className":1438,"style":901},[900],[572,1440,1442],{"className":1441},[905,906,907,908],[572,1443,1112],{"className":1444},[615,908],[572,1446,919],{"className":1447},[918],[572,1449,1451],{"className":1450},[888],[572,1452,1454],{"className":1453,"style":926},[892],[572,1455],{},[572,1457],{"className":1458,"style":845},[844],[572,1460,1376],{"className":1461},[615],[572,1463],{"className":1464,"style":852},[844],[572,1466,804],{"className":1467},[856],[572,1469],{"className":1470,"style":852},[844],[572,1472,1474,1478,1481,1484,1488,1491,1498,1529,1532,1535],{"className":1473},[606],[572,1475],{"className":1476,"style":1477},[610],"height:1.0585em;vertical-align:-0.1944em;",[572,1479,1381],{"className":1480},[615],[572,1482,1120],{"className":1483},[1119],[572,1485],{"className":1486,"style":1487},[844],"margin-right:1em;",[572,1489],{"className":1490,"style":845},[844],[572,1492,1495],{"className":1493},[615,1494],"text",[572,1496,1390],{"className":1497},[615],[572,1499,1501,1504],{"className":1500},[615],[572,1502,1112],{"className":1503},[615],[572,1505,1507],{"className":1506},[879],[572,1508,1510],{"className":1509},[883],[572,1511,1513],{"className":1512},[888],[572,1514,1517],{"className":1515,"style":1516},[892],"height:0.8641em;",[572,1518,1520,1523],{"style":1519},"top:-3.113em;margin-right:0.05em;",[572,1521],{"className":1522,"style":901},[900],[572,1524,1526],{"className":1525},[905,906,907,908],[572,1527,1381],{"className":1528},[615,908],[572,1530],{"className":1531,"style":852},[844],[572,1533,804],{"className":1534},[856],[572,1536],{"className":1537,"style":852},[844],[572,1539,1541,1544],{"className":1540},[606],[572,1542],{"className":1543,"style":709},[610],[572,1545,1376],{"className":1546},[615],[572,1548,1550],{"className":1549},[1350],[572,1551,1553,1592],{"className":1552},[575],[572,1554,1556],{"className":1555},[579],[581,1557,1558],{"xmlns":583,"display":1359},[585,1559,1560,1589],{},[588,1561,1562,1564,1566,1569,1571,1573,1575,1577,1579,1585,1587],{},[591,1563,552],{},[797,1565,799],{},[695,1567,1568],{},"1000",[797,1570,804],{},[695,1572,1381],{},[797,1574,1120],{"separator":602},[844,1576],{"width":1386},[1388,1578,1390],{},[1392,1580,1581,1583],{},[695,1582,816],{},[695,1584,1381],{},[797,1586,804],{},[695,1588,1568],{},[595,1590,1591],{"encoding":597},"\\lg 1000 = 3, \\quad \\text{weil } 10^3 = 1000",[572,1593,1595,1621,1686],{"className":1594,"ariaHidden":602},[601],[572,1596,1598,1601,1606,1609,1612,1615,1618],{"className":1597},[606],[572,1599],{"className":1600,"style":831},[610],[572,1602,836,1604],{"className":1603},[835],[572,1605,840],{"style":839},[572,1607],{"className":1608,"style":845},[844],[572,1610,1568],{"className":1611},[615],[572,1613],{"className":1614,"style":852},[844],[572,1616,804],{"className":1617},[856],[572,1619],{"className":1620,"style":852},[844],[572,1622,1624,1627,1630,1633,1636,1639,1645,1648,1677,1680,1683],{"className":1623},[606],[572,1625],{"className":1626,"style":1477},[610],[572,1628,1381],{"className":1629},[615],[572,1631,1120],{"className":1632},[1119],[572,1634],{"className":1635,"style":1487},[844],[572,1637],{"className":1638,"style":845},[844],[572,1640,1642],{"className":1641},[615,1494],[572,1643,1390],{"className":1644},[615],[572,1646,697],{"className":1647},[615],[572,1649,1651,1654],{"className":1650},[615],[572,1652,757],{"className":1653},[615],[572,1655,1657],{"className":1656},[879],[572,1658,1660],{"className":1659},[883],[572,1661,1663],{"className":1662},[888],[572,1664,1666],{"className":1665,"style":1516},[892],[572,1667,1668,1671],{"style":1519},[572,1669],{"className":1670,"style":901},[900],[572,1672,1674],{"className":1673},[905,906,907,908],[572,1675,1381],{"className":1676},[615,908],[572,1678],{"className":1679,"style":852},[844],[572,1681,804],{"className":1682},[856],[572,1684],{"className":1685,"style":852},[844],[572,1687,1689,1692],{"className":1688},[606],[572,1690],{"className":1691,"style":709},[610],[572,1693,1568],{"className":1694},[615],[572,1696,1698],{"className":1697},[1350],[572,1699,1701,1768],{"className":1700},[575],[572,1702,1704],{"className":1703},[579],[581,1705,1706],{"xmlns":583,"display":1359},[585,1707,1708,1765],{},[588,1709,1710,1720,1732,1734,1737,1739,1741,1743,1745,1755,1757],{},[806,1711,1712,1718],{},[588,1713,1714,1716],{},[591,1715,551],{},[797,1717,799],{},[695,1719,1381],{},[1721,1722,1724],"mstyle",{"scriptlevel":757,"displaystyle":1723},"false",[1725,1726,1727,1729],"mfrac",{},[695,1728,697],{},[695,1730,1731],{},"9",[797,1733,804],{},[797,1735,1736],{},"−",[695,1738,1112],{},[797,1740,1120],{"separator":602},[844,1742],{"width":1386},[1388,1744,1390],{},[1392,1746,1747,1749],{},[695,1748,1381],{},[588,1750,1751,1753],{},[797,1752,1736],{},[695,1754,1112],{},[797,1756,804],{},[1721,1758,1759],{"scriptlevel":757,"displaystyle":1723},[1725,1760,1761,1763],{},[695,1762,697],{},[695,1764,1731],{},[595,1766,1767],{"encoding":597},"\\log_3 \\tfrac{1}{9} = -2, \\quad \\text{weil } 3^{-2} = \\tfrac{1}{9}",[572,1769,1771,1911,1982],{"className":1770,"ariaHidden":602},[601],[572,1772,1774,1778,1820,1823,1902,1905,1908],{"className":1773},[606],[572,1775],{"className":1776,"style":1777},[610],"height:1.1901em;vertical-align:-0.345em;",[572,1779,1781,1786],{"className":1780},[835],[572,1782,873,1784],{"className":1783},[835],[572,1785,840],{"style":839},[572,1787,1789],{"className":1788},[879],[572,1790,1792,1812],{"className":1791},[883,884],[572,1793,1795,1809],{"className":1794},[888],[572,1796,1798],{"className":1797,"style":893},[892],[572,1799,1800,1803],{"style":896},[572,1801],{"className":1802,"style":901},[900],[572,1804,1806],{"className":1805},[905,906,907,908],[572,1807,1381],{"className":1808},[615,908],[572,1810,919],{"className":1811},[918],[572,1813,1815],{"className":1814},[888],[572,1816,1818],{"className":1817,"style":926},[892],[572,1819],{},[572,1821],{"className":1822,"style":845},[844],[572,1824,1826,1831,1898],{"className":1825},[615],[572,1827],{"className":1828},[1829,1830],"mopen","nulldelimiter",[572,1832,1834],{"className":1833},[1725],[572,1835,1837,1889],{"className":1836},[883,884],[572,1838,1840,1886],{"className":1839},[888],[572,1841,1844,1860,1871],{"className":1842,"style":1843},[892],"height:0.8451em;",[572,1845,1847,1851],{"style":1846},"top:-2.655em;",[572,1848],{"className":1849,"style":1850},[900],"height:3em;",[572,1852,1854],{"className":1853},[905,906,907,908],[572,1855,1857],{"className":1856},[615,908],[572,1858,1731],{"className":1859},[615,908],[572,1861,1863,1866],{"style":1862},"top:-3.23em;",[572,1864],{"className":1865,"style":1850},[900],[572,1867],{"className":1868,"style":1870},[1869],"frac-line","border-bottom-width:0.04em;",[572,1872,1874,1877],{"style":1873},"top:-3.394em;",[572,1875],{"className":1876,"style":1850},[900],[572,1878,1880],{"className":1879},[905,906,907,908],[572,1881,1883],{"className":1882},[615,908],[572,1884,697],{"className":1885},[615,908],[572,1887,919],{"className":1888},[918],[572,1890,1892],{"className":1891},[888],[572,1893,1896],{"className":1894,"style":1895},[892],"height:0.345em;",[572,1897],{},[572,1899],{"className":1900},[1901,1830],"mclose",[572,1903],{"className":1904,"style":852},[844],[572,1906,804],{"className":1907},[856],[572,1909],{"className":1910,"style":852},[844],[572,1912,1914,1917,1920,1923,1926,1929,1932,1938,1973,1976,1979],{"className":1913},[606],[572,1915],{"className":1916,"style":1477},[610],[572,1918,1736],{"className":1919},[615],[572,1921,1112],{"className":1922},[615],[572,1924,1120],{"className":1925},[1119],[572,1927],{"className":1928,"style":1487},[844],[572,1930],{"className":1931,"style":845},[844],[572,1933,1935],{"className":1934},[615,1494],[572,1936,1390],{"className":1937},[615],[572,1939,1941,1944],{"className":1940},[615],[572,1942,1381],{"className":1943},[615],[572,1945,1947],{"className":1946},[879],[572,1948,1950],{"className":1949},[883],[572,1951,1953],{"className":1952},[888],[572,1954,1956],{"className":1955,"style":1516},[892],[572,1957,1958,1961],{"style":1519},[572,1959],{"className":1960,"style":901},[900],[572,1962,1964],{"className":1963},[905,906,907,908],[572,1965,1967,1970],{"className":1966},[615,908],[572,1968,1736],{"className":1969},[615,908],[572,1971,1112],{"className":1972},[615,908],[572,1974],{"className":1975,"style":852},[844],[572,1977,804],{"className":1978},[856],[572,1980],{"className":1981,"style":852},[844],[572,1983,1985,1988],{"className":1984},[606],[572,1986],{"className":1987,"style":1777},[610],[572,1989,1991,1994,2053],{"className":1990},[615],[572,1992],{"className":1993},[1829,1830],[572,1995,1997],{"className":1996},[1725],[572,1998,2000,2045],{"className":1999},[883,884],[572,2001,2003,2042],{"className":2002},[888],[572,2004,2006,2020,2028],{"className":2005,"style":1843},[892],[572,2007,2008,2011],{"style":1846},[572,2009],{"className":2010,"style":1850},[900],[572,2012,2014],{"className":2013},[905,906,907,908],[572,2015,2017],{"className":2016},[615,908],[572,2018,1731],{"className":2019},[615,908],[572,2021,2022,2025],{"style":1862},[572,2023],{"className":2024,"style":1850},[900],[572,2026],{"className":2027,"style":1870},[1869],[572,2029,2030,2033],{"style":1873},[572,2031],{"className":2032,"style":1850},[900],[572,2034,2036],{"className":2035},[905,906,907,908],[572,2037,2039],{"className":2038},[615,908],[572,2040,697],{"className":2041},[615,908],[572,2043,919],{"className":2044},[918],[572,2046,2048],{"className":2047},[888],[572,2049,2051],{"className":2050,"style":1895},[892],[572,2052],{},[572,2054],{"className":2055},[1901,1830],[559,2057,2059],{"id":2058},"typische-fehler","Typische Fehler",[777,2061,2062,2207,2339],{},[780,2063,2064,2065,2149,2150,2178,2179,1342],{},"Basis und Numerus vertauschen: ",[572,2066,2068,2092],{"className":2067},[575],[572,2069,2071],{"className":2070},[579],[581,2072,2073],{"xmlns":583},[585,2074,2075,2089],{},[588,2076,2077,2087],{},[806,2078,2079,2085],{},[588,2080,2081,2083],{},[591,2082,551],{},[797,2084,799],{},[695,2086,1112],{},[695,2088,1376],{},[595,2090,2091],{"encoding":597},"\\log_2 8",[572,2093,2095],{"className":2094,"ariaHidden":602},[601],[572,2096,2098,2101,2143,2146],{"className":2097},[606],[572,2099],{"className":2100,"style":866},[610],[572,2102,2104,2109],{"className":2103},[835],[572,2105,873,2107],{"className":2106},[835],[572,2108,840],{"style":839},[572,2110,2112],{"className":2111},[879],[572,2113,2115,2135],{"className":2114},[883,884],[572,2116,2118,2132],{"className":2117},[888],[572,2119,2121],{"className":2120,"style":893},[892],[572,2122,2123,2126],{"style":896},[572,2124],{"className":2125,"style":901},[900],[572,2127,2129],{"className":2128},[905,906,907,908],[572,2130,1112],{"className":2131},[615,908],[572,2133,919],{"className":2134},[918],[572,2136,2138],{"className":2137},[888],[572,2139,2141],{"className":2140,"style":926},[892],[572,2142],{},[572,2144],{"className":2145,"style":845},[844],[572,2147,1376],{"className":2148},[615]," fragt nach dem Exponenten zur Basis ",[572,2151,2153,2166],{"className":2152},[575],[572,2154,2156],{"className":2155},[579],[581,2157,2158],{"xmlns":583},[585,2159,2160,2164],{},[588,2161,2162],{},[695,2163,1112],{},[595,2165,1112],{"encoding":597},[572,2167,2169],{"className":2168,"ariaHidden":602},[601],[572,2170,2172,2175],{"className":2171},[606],[572,2173],{"className":2174,"style":709},[610],[572,2176,1112],{"className":2177},[615],", nicht zur Basis ",[572,2180,2182,2195],{"className":2181},[575],[572,2183,2185],{"className":2184},[579],[581,2186,2187],{"xmlns":583},[585,2188,2189,2193],{},[588,2190,2191],{},[695,2192,1376],{},[595,2194,1376],{"encoding":597},[572,2196,2198],{"className":2197,"ariaHidden":602},[601],[572,2199,2201,2204],{"className":2200},[606],[572,2202],{"className":2203,"style":709},[610],[572,2205,1376],{"className":2206},[615],[780,2208,2209,2210,2238,2239,2338],{},"Den Logarithmus einer negativen Zahl oder von ",[572,2211,2213,2226],{"className":2212},[575],[572,2214,2216],{"className":2215},[579],[581,2217,2218],{"xmlns":583},[585,2219,2220,2224],{},[588,2221,2222],{},[695,2223,757],{},[595,2225,757],{"encoding":597},[572,2227,2229],{"className":2228,"ariaHidden":602},[601],[572,2230,2232,2235],{"className":2231},[606],[572,2233],{"className":2234,"style":709},[610],[572,2236,757],{"className":2237},[615]," berechnen wollen: ",[572,2240,2242,2274],{"className":2241},[575],[572,2243,2245],{"className":2244},[579],[581,2246,2247],{"xmlns":583},[585,2248,2249,2271],{},[588,2250,2251,2261,2264,2266,2269],{},[806,2252,2253,2259],{},[588,2254,2255,2257],{},[591,2256,551],{},[797,2258,799],{},[695,2260,1112],{},[797,2262,2263],{"stretchy":1723},"(",[797,2265,1736],{},[695,2267,2268],{},"4",[797,2270,1125],{"stretchy":1723},[595,2272,2273],{"encoding":597},"\\log_2 (-4)",[572,2275,2277],{"className":2276,"ariaHidden":602},[601],[572,2278,2280,2284,2326,2329,2332,2335],{"className":2279},[606],[572,2281],{"className":2282,"style":2283},[610],"height:1em;vertical-align:-0.25em;",[572,2285,2287,2292],{"className":2286},[835],[572,2288,873,2290],{"className":2289},[835],[572,2291,840],{"style":839},[572,2293,2295],{"className":2294},[879],[572,2296,2298,2318],{"className":2297},[883,884],[572,2299,2301,2315],{"className":2300},[888],[572,2302,2304],{"className":2303,"style":893},[892],[572,2305,2306,2309],{"style":896},[572,2307],{"className":2308,"style":901},[900],[572,2310,2312],{"className":2311},[905,906,907,908],[572,2313,1112],{"className":2314},[615,908],[572,2316,919],{"className":2317},[918],[572,2319,2321],{"className":2320},[888],[572,2322,2324],{"className":2323,"style":926},[892],[572,2325],{},[572,2327,2263],{"className":2328},[1829],[572,2330,1736],{"className":2331},[615],[572,2333,2268],{"className":2334},[615],[572,2336,1125],{"className":2337},[1901]," ist nicht definiert.",[780,2340,2341,2342,1342],{},"Ein negatives Ergebnis für unmöglich halten: Der Logarithmus selbst kann negativ sein, z.B. 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-2",[572,2380,2382,2510],{"className":2381,"ariaHidden":602},[601],[572,2383,2385,2388,2430,2433,2501,2504,2507],{"className":2384},[606],[572,2386],{"className":2387,"style":1777},[610],[572,2389,2391,2396],{"className":2390},[835],[572,2392,873,2394],{"className":2393},[835],[572,2395,840],{"style":839},[572,2397,2399],{"className":2398},[879],[572,2400,2402,2422],{"className":2401},[883,884],[572,2403,2405,2419],{"className":2404},[888],[572,2406,2408],{"className":2407,"style":893},[892],[572,2409,2410,2413],{"style":896},[572,2411],{"className":2412,"style":901},[900],[572,2414,2416],{"className":2415},[905,906,907,908],[572,2417,1381],{"className":2418},[615,908],[572,2420,919],{"className":2421},[918],[572,2423,2425],{"className":2424},[888],[572,2426,2428],{"className":2427,"style":926},[892],[572,2429],{},[572,2431],{"className":2432,"style":845},[844],[572,2434,2436,2439,2498],{"className":2435},[615],[572,2437],{"className":2438},[1829,1830],[572,2440,2442],{"className":2441},[1725],[572,2443,2445,2490],{"className":2444},[883,884],[572,2446,2448,2487],{"className":2447},[888],[572,2449,2451,2465,2473],{"className":2450,"style":1843},[892],[572,2452,2453,2456],{"style":1846},[572,2454],{"className":2455,"style":1850},[900],[572,2457,2459],{"className":2458},[905,906,907,908],[572,2460,2462],{"className":2461},[615,908],[572,2463,1731],{"className":2464},[615,908],[572,2466,2467,2470],{"style":1862},[572,2468],{"className":2469,"style":1850},[900],[572,2471],{"className":2472,"style":1870},[1869],[572,2474,2475,2478],{"style":1873},[572,2476],{"className":2477,"style":1850},[900],[572,2479,2481],{"className":2480},[905,906,907,908],[572,2482,2484],{"className":2483},[615,908],[572,2485,697],{"className":2486},[615,908],[572,2488,919],{"className":2489},[918],[572,2491,2493],{"className":2492},[888],[572,2494,2496],{"className":2495,"style":1895},[892],[572,2497],{},[572,2499],{"className":2500},[1901,1830],[572,2502],{"className":2503,"style":852},[844],[572,2505,804],{"className":2506},[856],[572,2508],{"className":2509,"style":852},[844],[572,2511,2513,2517,2520],{"className":2512},[606],[572,2514],{"className":2515,"style":2516},[610],"height:0.7278em;vertical-align:-0.0833em;",[572,2518,1736],{"className":2519},[615],[572,2521,1112],{"className":2522},[615],{"title":2524,"searchDepth":2525,"depth":2525,"links":2526},"",2,[2527,2528,2529],{"id":561,"depth":2525,"text":562},{"id":1345,"depth":2525,"text":1346},{"id":2058,"depth":2525,"text":2059},[2531,2533,2536,2538,2540,2543,2545],{"lhs":2532,"rhs":632},"a^log(b, a)",{"lhs":2534,"rhs":2535},"log(a^x, a)","x",{"lhs":2537,"rhs":1381},"log(8, 2)",{"lhs":2539,"rhs":1381},"log10(1000)",{"lhs":2541,"rhs":2542},"log(1\u002F9, 3)","-2",{"lhs":2544,"rhs":757},"log(1, a)",{"lhs":2546,"rhs":697},"log(a, a)","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\" 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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 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class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7144em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan 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