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",[572,993,995,1023],{"className":994},[575],[572,996,998],{"className":997},[579],[581,999,1000],{"xmlns":583},[585,1001,1002,1020],{},[588,1003,1004,1006,1009,1012],{},[732,1005,931],{"stretchy":930},[732,1007,1008],{},"−",[660,1010,1011],{},"2",[1013,1014,1015,1017],"msup",{},[732,1016,941],{"stretchy":930},[660,1018,1019],{},"0,5",[595,1021,1022],{"encoding":597},"(-2)^{0{,}5}",[572,1024,1026],{"className":1025,"ariaHidden":602},[601],[572,1027,1029,1033,1036,1039,1042],{"className":1028},[606],[572,1030],{"className":1031,"style":1032},[610],"height:1.0641em;vertical-align:-0.25em;",[572,1034,931],{"className":1035},[958],[572,1037,1008],{"className":1038},[615],[572,1040,1011],{"className":1041},[615],[572,1043,1045,1048],{"className":1044},[983],[572,1046,941],{"className":1047},[983],[572,1049,1052],{"className":1050},[1051],"msupsub",[572,1053,1056],{"className":1054},[1055],"vlist-t",[572,1057,1060],{"className":1058},[1059],"vlist-r",[572,1061,1065],{"className":1062,"style":1064},[1063],"vlist","height:0.8141em;",[572,1066,1068,1073],{"style":1067},"top:-3.063em;margin-right:0.05em;",[572,1069],{"className":1070,"style":1072},[1071],"pstrut","height:2.7em;",[572,1074,1080],{"className":1075},[1076,1077,1078,1079],"sizing","reset-size6","size3","mtight",[572,1081,1083,1086,1094],{"className":1082},[615,1079],[572,1084,737],{"className":1085},[615,1079],[572,1087,1089],{"className":1088},[615,1079],[572,1090,1093],{"className":1091},[1092,1079],"mpunct",",",[572,1095,1097],{"className":1096},[615,1079],"5"," nicht definiert. Bei ",[572,1100,1102,1121],{"className":1101},[575],[572,1103,1105],{"className":1104},[579],[581,1106,1107],{"xmlns":583},[585,1108,1109,1118],{},[588,1110,1111,1113,1116],{},[591,1112,696],{},[732,1114,1115],{},"=",[660,1117,662],{},[595,1119,1120],{"encoding":597},"b = 1",[572,1122,1124,1142],{"className":1123,"ariaHidden":602},[601],[572,1125,1127,1130,1133,1136,1139],{"className":1126},[606],[572,1128],{"className":1129,"style":708},[610],[572,1131,696],{"className":1132},[615,616],[572,1134],{"className":1135,"style":758},[757],[572,1137,1115],{"className":1138},[762],[572,1140],{"className":1141,"style":758},[757],[572,1143,1145,1148],{"className":1144},[606],[572,1146],{"className":1147,"style":674},[610],[572,1149,662],{"className":1150},[615]," wäre ",[572,1153,1155,1169],{"className":1154},[575],[572,1156,1158],{"className":1157},[579],[581,1159,1160],{"xmlns":583},[585,1161,1162,1167],{},[588,1163,1164],{},[591,1165,1166],{},"f",[595,1168,1166],{"encoding":597},[572,1170,1172],{"className":1171,"ariaHidden":602},[601],[572,1173,1175,1179],{"className":1174},[606],[572,1176],{"className":1177,"style":1178},[610],"height:0.8889em;vertical-align:-0.1944em;",[572,1180,1166],{"className":1181,"style":1182},[615,616],"margin-right:0.1076em;"," konstant. Für ",[572,1185,1187,1205],{"className":1186},[575],[572,1188,1190],{"className":1189},[579],[581,1191,1192],{"xmlns":583},[585,1193,1194,1202],{},[588,1195,1196,1198,1200],{},[591,1197,730],{},[732,1199,853],{},[660,1201,737],{},[595,1203,1204],{"encoding":597},"a \u003C 0",[572,1206,1208,1226],{"className":1207,"ariaHidden":602},[601],[572,1209,1211,1214,1217,1220,1223],{"className":1210},[606],[572,1212],{"className":1213,"style":750},[610],[572,1215,730],{"className":1216},[615,616],[572,1218],{"className":1219,"style":758},[757],[572,1221,853],{"className":1222},[762],[572,1224],{"className":1225,"style":758},[757],[572,1227,1229,1232],{"className":1228},[606],[572,1230],{"className":1231,"style":674},[610],[572,1233,737],{"className":1234},[615]," ist der Graph an der x-Achse gespiegelt.",[559,1237,1239],{"id":1238},"beispiele","Beispiele",[564,1241,1242,1365],{},[572,1243,1245,1279],{"className":1244},[575],[572,1246,1248],{"className":1247},[579],[581,1249,1250],{"xmlns":583},[585,1251,1252,1276],{},[588,1253,1254,1256,1258,1260,1262,1264,1267,1270],{},[591,1255,1166],{},[732,1257,931],{"stretchy":930},[591,1259,593],{},[732,1261,941],{"stretchy":930},[732,1263,1115],{},[660,1265,1266],{},"3",[732,1268,1269],{},"⋅",[1013,1271,1272,1274],{},[660,1273,1011],{},[591,1275,593],{},[595,1277,1278],{"encoding":597},"f(x) = 3 \\cdot 2^x",[572,1280,1282,1309,1329],{"className":1281,"ariaHidden":602},[601],[572,1283,1285,1288,1291,1294,1297,1300,1303,1306],{"className":1284},[606],[572,1286],{"className":1287,"style":954},[610],[572,1289,1166],{"className":1290,"style":1182},[615,616],[572,1292,931],{"className":1293},[958],[572,1295,593],{"className":1296},[615,616],[572,1298,941],{"className":1299},[983],[572,1301],{"className":1302,"style":758},[757],[572,1304,1115],{"className":1305},[762],[572,1307],{"className":1308,"style":758},[757],[572,1310,1312,1315,1318,1322,1326],{"className":1311},[606],[572,1313],{"className":1314,"style":674},[610],[572,1316,1266],{"className":1317},[615],[572,1319],{"className":1320,"style":1321},[757],"margin-right:0.2222em;",[572,1323,1269],{"className":1324},[1325],"mbin",[572,1327],{"className":1328,"style":1321},[757],[572,1330,1332,1336],{"className":1331},[606],[572,1333],{"className":1334,"style":1335},[610],"height:0.6644em;",[572,1337,1339,1342],{"className":1338},[615],[572,1340,1011],{"className":1341},[615],[572,1343,1345],{"className":1344},[1051],[572,1346,1348],{"className":1347},[1055],[572,1349,1351],{"className":1350},[1059],[572,1352,1354],{"className":1353,"style":1335},[1063],[572,1355,1356,1359],{"style":1067},[572,1357],{"className":1358,"style":1072},[1071],[572,1360,1362],{"className":1361},[1076,1077,1078,1079],[572,1363,593],{"className":1364},[615,616,1079]," verdoppelt sich mit jedem Schritt:",[572,1367,1370],{"className":1368},[1369],"katex-display",[572,1371,1373,1457],{"className":1372},[575],[572,1374,1376],{"className":1375},[579],[581,1377,1379],{"xmlns":583,"display":1378},"block",[585,1380,1381,1454],{},[588,1382,1383,1385,1387,1390,1392,1394,1396,1398,1404,1406,1408,1410,1413,1415,1418,1420,1423,1425,1427,1429,1431,1433,1435,1437,1439,1449,1451],{},[591,1384,1166],{},[732,1386,931],{"stretchy":930},[660,1388,1389],{},"4",[732,1391,941],{"stretchy":930},[732,1393,1115],{},[660,1395,1266],{},[732,1397,1269],{},[1013,1399,1400,1402],{},[660,1401,1011],{},[660,1403,1389],{},[732,1405,1115],{},[660,1407,1266],{},[732,1409,1269],{},[660,1411,1412],{},"16",[732,1414,1115],{},[660,1416,1417],{},"48",[732,1419,1093],{"separator":602},[757,1421],{"width":1422},"2em",[591,1424,1166],{},[732,1426,931],{"stretchy":930},[732,1428,1008],{},[660,1430,662],{},[732,1432,941],{"stretchy":930},[732,1434,1115],{},[660,1436,1266],{},[732,1438,1269],{},[1013,1440,1441,1443],{},[660,1442,1011],{},[588,1444,1445,1447],{},[732,1446,1008],{},[660,1448,662],{},[732,1450,1115],{},[660,1452,1453],{},"1,5",[595,1455,1456],{"encoding":597},"f(4) = 3 \\cdot 2^4 = 3 \\cdot 16 = 48, \\qquad f(-1) = 3 \\cdot 2^{-1} = 1{,}5",[572,1458,1460,1487,1505,1551,1569,1587,1631,1649,1699],{"className":1459,"ariaHidden":602},[601],[572,1461,1463,1466,1469,1472,1475,1478,1481,1484],{"className":1462},[606],[572,1464],{"className":1465,"style":954},[610],[572,1467,1166],{"className":1468,"style":1182},[615,616],[572,1470,931],{"className":1471},[958],[572,1473,1389],{"className":1474},[615],[572,1476,941],{"className":1477},[983],[572,1479],{"className":1480,"style":758},[757],[572,1482,1115],{"className":1483},[762],[572,1485],{"className":1486,"style":758},[757],[572,1488,1490,1493,1496,1499,1502],{"className":1489},[606],[572,1491],{"className":1492,"style":674},[610],[572,1494,1266],{"className":1495},[615],[572,1497],{"className":1498,"style":1321},[757],[572,1500,1269],{"className":1501},[1325],[572,1503],{"className":1504,"style":1321},[757],[572,1506,1508,1512,1542,1545,1548],{"className":1507},[606],[572,1509],{"className":1510,"style":1511},[610],"height:0.8641em;",[572,1513,1515,1518],{"className":1514},[615],[572,1516,1011],{"className":1517},[615],[572,1519,1521],{"className":1520},[1051],[572,1522,1524],{"className":1523},[1055],[572,1525,1527],{"className":1526},[1059],[572,1528,1530],{"className":1529,"style":1511},[1063],[572,1531,1533,1536],{"style":1532},"top:-3.113em;margin-right:0.05em;",[572,1534],{"className":1535,"style":1072},[1071],[572,1537,1539],{"className":1538},[1076,1077,1078,1079],[572,1540,1389],{"className":1541},[615,1079],[572,1543],{"className":1544,"style":758},[757],[572,1546,1115],{"className":1547},[762],[572,1549],{"className":1550,"style":758},[757],[572,1552,1554,1557,1560,1563,1566],{"className":1553},[606],[572,1555],{"className":1556,"style":674},[610],[572,1558,1266],{"className":1559},[615],[572,1561],{"className":1562,"style":1321},[757],[572,1564,1269],{"className":1565},[1325],[572,1567],{"className":1568,"style":1321},[757],[572,1570,1572,1575,1578,1581,1584],{"className":1571},[606],[572,1573],{"className":1574,"style":674},[610],[572,1576,1412],{"className":1577},[615],[572,1579],{"className":1580,"style":758},[757],[572,1582,1115],{"className":1583},[762],[572,1585],{"className":1586,"style":758},[757],[572,1588,1590,1593,1596,1599,1603,1607,1610,1613,1616,1619,1622,1625,1628],{"className":1589},[606],[572,1591],{"className":1592,"style":954},[610],[572,1594,1417],{"className":1595},[615],[572,1597,1093],{"className":1598},[1092],[572,1600],{"className":1601,"style":1602},[757],"margin-right:2em;",[572,1604],{"className":1605,"style":1606},[757],"margin-right:0.1667em;",[572,1608,1166],{"className":1609,"style":1182},[615,616],[572,1611,931],{"className":1612},[958],[572,1614,1008],{"className":1615},[615],[572,1617,662],{"className":1618},[615],[572,1620,941],{"className":1621},[983],[572,1623],{"className":1624,"style":758},[757],[572,1626,1115],{"className":1627},[762],[572,1629],{"className":1630,"style":758},[757],[572,1632,1634,1637,1640,1643,1646],{"className":1633},[606],[572,1635],{"className":1636,"style":674},[610],[572,1638,1266],{"className":1639},[615],[572,1641],{"className":1642,"style":1321},[757],[572,1644,1269],{"className":1645},[1325],[572,1647],{"className":1648,"style":1321},[757],[572,1650,1652,1655,1690,1693,1696],{"className":1651},[606],[572,1653],{"className":1654,"style":1511},[610],[572,1656,1658,1661],{"className":1657},[615],[572,1659,1011],{"className":1660},[615],[572,1662,1664],{"className":1663},[1051],[572,1665,1667],{"className":1666},[1055],[572,1668,1670],{"className":1669},[1059],[572,1671,1673],{"className":1672,"style":1511},[1063],[572,1674,1675,1678],{"style":1532},[572,1676],{"className":1677,"style":1072},[1071],[572,1679,1681],{"className":1680},[1076,1077,1078,1079],[572,1682,1684,1687],{"className":1683},[615,1079],[572,1685,1008],{"className":1686},[615,1079],[572,1688,662],{"className":1689},[615,1079],[572,1691],{"className":1692,"style":758},[757],[572,1694,1115],{"className":1695},[762],[572,1697],{"className":1698,"style":758},[757],[572,1700,1702,1706,1709,1715],{"className":1701},[606],[572,1703],{"className":1704,"style":1705},[610],"height:0.8389em;vertical-align:-0.1944em;",[572,1707,662],{"className":1708},[615],[572,1710,1712],{"className":1711},[615],[572,1713,1093],{"className":1714},[1092],[572,1716,1097],{"className":1717},[615],[564,1719,1720,1849,1850,1971],{},[572,1721,1723,1756],{"className":1722},[575],[572,1724,1726],{"className":1725},[579],[581,1727,1728],{"xmlns":583},[585,1729,1730,1753],{},[588,1731,1732,1734,1736,1738,1740,1742,1745,1747],{},[591,1733,1166],{},[732,1735,931],{"stretchy":930},[591,1737,593],{},[732,1739,941],{"stretchy":930},[732,1741,1115],{},[660,1743,1744],{},"8",[732,1746,1269],{},[1013,1748,1749,1751],{},[660,1750,1019],{},[591,1752,593],{},[595,1754,1755],{"encoding":597},"f(x) = 8 \\cdot 0{,}5^x",[572,1757,1759,1786,1804],{"className":1758,"ariaHidden":602},[601],[572,1760,1762,1765,1768,1771,1774,1777,1780,1783],{"className":1761},[606],[572,1763],{"className":1764,"style":954},[610],[572,1766,1166],{"className":1767,"style":1182},[615,616],[572,1769,931],{"className":1770},[958],[572,1772,593],{"className":1773},[615,616],[572,1775,941],{"className":1776},[983],[572,1778],{"className":1779,"style":758},[757],[572,1781,1115],{"className":1782},[762],[572,1784],{"className":1785,"style":758},[757],[572,1787,1789,1792,1795,1798,1801],{"className":1788},[606],[572,1790],{"className":1791,"style":674},[610],[572,1793,1744],{"className":1794},[615],[572,1796],{"className":1797,"style":1321},[757],[572,1799,1269],{"className":1800},[1325],[572,1802],{"className":1803,"style":1321},[757],[572,1805,1807,1811,1814,1820],{"className":1806},[606],[572,1808],{"className":1809,"style":1810},[610],"height:0.8588em;vertical-align:-0.1944em;",[572,1812,737],{"className":1813},[615],[572,1815,1817],{"className":1816},[615],[572,1818,1093],{"className":1819},[1092],[572,1821,1823,1826],{"className":1822},[615],[572,1824,1097],{"className":1825},[615],[572,1827,1829],{"className":1828},[1051],[572,1830,1832],{"className":1831},[1055],[572,1833,1835],{"className":1834},[1059],[572,1836,1838],{"className":1837,"style":1335},[1063],[572,1839,1840,1843],{"style":1067},[572,1841],{"className":1842,"style":1072},[1071],[572,1844,1846],{"className":1845},[1076,1077,1078,1079],[572,1847,593],{"className":1848},[615,616,1079]," halbiert sich mit jedem Schritt: ",[572,1851,1853,1886],{"className":1852},[575],[572,1854,1856],{"className":1855},[579],[581,1857,1858],{"xmlns":583},[585,1859,1860,1883],{},[588,1861,1862,1864,1866,1868,1870,1872,1874,1876,1879,1881],{},[591,1863,1166],{},[732,1865,931],{"stretchy":930},[660,1867,1266],{},[732,1869,941],{"stretchy":930},[732,1871,1115],{},[660,1873,1744],{},[732,1875,1269],{},[660,1877,1878],{},"0,125",[732,1880,1115],{},[660,1882,662],{},[595,1884,1885],{"encoding":597},"f(3) = 8 \\cdot 0{,}125 = 1",[572,1887,1889,1916,1934,1962],{"className":1888,"ariaHidden":602},[601],[572,1890,1892,1895,1898,1901,1904,1907,1910,1913],{"className":1891},[606],[572,1893],{"className":1894,"style":954},[610],[572,1896,1166],{"className":1897,"style":1182},[615,616],[572,1899,931],{"className":1900},[958],[572,1902,1266],{"className":1903},[615],[572,1905,941],{"className":1906},[983],[572,1908],{"className":1909,"style":758},[757],[572,1911,1115],{"className":1912},[762],[572,1914],{"className":1915,"style":758},[757],[572,1917,1919,1922,1925,1928,1931],{"className":1918},[606],[572,1920],{"className":1921,"style":674},[610],[572,1923,1744],{"className":1924},[615],[572,1926],{"className":1927,"style":1321},[757],[572,1929,1269],{"className":1930},[1325],[572,1932],{"className":1933,"style":1321},[757],[572,1935,1937,1940,1943,1949,1953,1956,1959],{"className":1936},[606],[572,1938],{"className":1939,"style":1705},[610],[572,1941,737],{"className":1942},[615],[572,1944,1946],{"className":1945},[615],[572,1947,1093],{"className":1948},[1092],[572,1950,1952],{"className":1951},[615],"125",[572,1954],{"className":1955,"style":758},[757],[572,1957,1115],{"className":1958},[762],[572,1960],{"className":1961,"style":758},[757],[572,1963,1965,1968],{"className":1964},[606],[572,1966],{"className":1967,"style":674},[610],[572,1969,662],{"className":1970},[615],".",[564,1973,1974,1975,2036,2037,2099,2100,2166,2167,2218,2219,2322,2323,2404,2405,2456,2457,775],{},"Gesucht ist die Exponentialfunktion durch ",[572,1976,1978,2000],{"className":1977},[575],[572,1979,1981],{"className":1980},[579],[581,1982,1983],{"xmlns":583},[585,1984,1985,1997],{},[588,1986,1987,1989,1991,1993,1995],{},[732,1988,931],{"stretchy":930},[660,1990,737],{},[732,1992,936],{},[660,1994,1097],{},[732,1996,941],{"stretchy":930},[595,1998,1999],{"encoding":597},"(0 \\mid 5)",[572,2001,2003,2024],{"className":2002,"ariaHidden":602},[601],[572,2004,2006,2009,2012,2015,2018,2021],{"className":2005},[606],[572,2007],{"className":2008,"style":954},[610],[572,2010,931],{"className":2011},[958],[572,2013,737],{"className":2014},[615],[572,2016],{"className":2017,"style":758},[757],[572,2019,936],{"className":2020},[762],[572,2022],{"className":2023,"style":758},[757],[572,2025,2027,2030,2033],{"className":2026},[606],[572,2028],{"className":2029,"style":954},[610],[572,2031,1097],{"className":2032},[615],[572,2034,941],{"className":2035},[983]," und ",[572,2038,2040,2063],{"className":2039},[575],[572,2041,2043],{"className":2042},[579],[581,2044,2045],{"xmlns":583},[585,2046,2047,2060],{},[588,2048,2049,2051,2053,2055,2058],{},[732,2050,931],{"stretchy":930},[660,2052,1011],{},[732,2054,936],{},[660,2056,2057],{},"20",[732,2059,941],{"stretchy":930},[595,2061,2062],{"encoding":597},"(2 \\mid 20)",[572,2064,2066,2087],{"className":2065,"ariaHidden":602},[601],[572,2067,2069,2072,2075,2078,2081,2084],{"className":2068},[606],[572,2070],{"className":2071,"style":954},[610],[572,2073,931],{"className":2074},[958],[572,2076,1011],{"className":2077},[615],[572,2079],{"className":2080,"style":758},[757],[572,2082,936],{"className":2083},[762],[572,2085],{"className":2086,"style":758},[757],[572,2088,2090,2093,2096],{"className":2089},[606],[572,2091],{"className":2092,"style":954},[610],[572,2094,2057],{"className":2095},[615],[572,2097,941],{"className":2098},[983],". Aus ",[572,2101,2103,2127],{"className":2102},[575],[572,2104,2106],{"className":2105},[579],[581,2107,2108],{"xmlns":583},[585,2109,2110,2124],{},[588,2111,2112,2114,2116,2118,2120,2122],{},[591,2113,1166],{},[732,2115,931],{"stretchy":930},[660,2117,737],{},[732,2119,941],{"stretchy":930},[732,2121,1115],{},[591,2123,730],{},[595,2125,2126],{"encoding":597},"f(0) = a",[572,2128,2130,2157],{"className":2129,"ariaHidden":602},[601],[572,2131,2133,2136,2139,2142,2145,2148,2151,2154],{"className":2132},[606],[572,2134],{"className":2135,"style":954},[610],[572,2137,1166],{"className":2138,"style":1182},[615,616],[572,2140,931],{"className":2141},[958],[572,2143,737],{"className":2144},[615],[572,2146,941],{"className":2147},[983],[572,2149],{"className":2150,"style":758},[757],[572,2152,1115],{"className":2153},[762],[572,2155],{"className":2156,"style":758},[757],[572,2158,2160,2163],{"className":2159},[606],[572,2161],{"className":2162,"style":611},[610],[572,2164,730],{"className":2165},[615,616]," folgt ",[572,2168,2170,2188],{"className":2169},[575],[572,2171,2173],{"className":2172},[579],[581,2174,2175],{"xmlns":583},[585,2176,2177,2185],{},[588,2178,2179,2181,2183],{},[591,2180,730],{},[732,2182,1115],{},[660,2184,1097],{},[595,2186,2187],{"encoding":597},"a = 5",[572,2189,2191,2209],{"className":2190,"ariaHidden":602},[601],[572,2192,2194,2197,2200,2203,2206],{"className":2193},[606],[572,2195],{"className":2196,"style":611},[610],[572,2198,730],{"className":2199},[615,616],[572,2201],{"className":2202,"style":758},[757],[572,2204,1115],{"className":2205},[762],[572,2207],{"className":2208,"style":758},[757],[572,2210,2212,2215],{"className":2211},[606],[572,2213],{"className":2214,"style":674},[610],[572,2216,1097],{"className":2217},[615],". Dann gilt ",[572,2220,2222,2248],{"className":2221},[575],[572,2223,2225],{"className":2224},[579],[581,2226,2227],{"xmlns":583},[585,2228,2229,2245],{},[588,2230,2231,2233,2235,2241,2243],{},[660,2232,1097],{},[732,2234,1269],{},[1013,2236,2237,2239],{},[591,2238,696],{},[660,2240,1011],{},[732,2242,1115],{},[660,2244,2057],{},[595,2246,2247],{"encoding":597},"5 \\cdot b^2 = 20",[572,2249,2251,2269,2313],{"className":2250,"ariaHidden":602},[601],[572,2252,2254,2257,2260,2263,2266],{"className":2253},[606],[572,2255],{"className":2256,"style":674},[610],[572,2258,1097],{"className":2259},[615],[572,2261],{"className":2262,"style":1321},[757],[572,2264,1269],{"className":2265},[1325],[572,2267],{"className":2268,"style":1321},[757],[572,2270,2272,2275,2304,2307,2310],{"className":2271},[606],[572,2273],{"className":2274,"style":1064},[610],[572,2276,2278,2281],{"className":2277},[615],[572,2279,696],{"className":2280},[615,616],[572,2282,2284],{"className":2283},[1051],[572,2285,2287],{"className":2286},[1055],[572,2288,2290],{"className":2289},[1059],[572,2291,2293],{"className":2292,"style":1064},[1063],[572,2294,2295,2298],{"style":1067},[572,2296],{"className":2297,"style":1072},[1071],[572,2299,2301],{"className":2300},[1076,1077,1078,1079],[572,2302,1011],{"className":2303},[615,1079],[572,2305],{"className":2306,"style":758},[757],[572,2308,1115],{"className":2309},[762],[572,2311],{"className":2312,"style":758},[757],[572,2314,2316,2319],{"className":2315},[606],[572,2317],{"className":2318,"style":674},[610],[572,2320,2057],{"className":2321},[615],", also ",[572,2324,2326,2348],{"className":2325},[575],[572,2327,2329],{"className":2328},[579],[581,2330,2331],{"xmlns":583},[585,2332,2333,2345],{},[588,2334,2335,2341,2343],{},[1013,2336,2337,2339],{},[591,2338,696],{},[660,2340,1011],{},[732,2342,1115],{},[660,2344,1389],{},[595,2346,2347],{"encoding":597},"b^2 = 4",[572,2349,2351,2395],{"className":2350,"ariaHidden":602},[601],[572,2352,2354,2357,2386,2389,2392],{"className":2353},[606],[572,2355],{"className":2356,"style":1064},[610],[572,2358,2360,2363],{"className":2359},[615],[572,2361,696],{"className":2362},[615,616],[572,2364,2366],{"className":2365},[1051],[572,2367,2369],{"className":2368},[1055],[572,2370,2372],{"className":2371},[1059],[572,2373,2375],{"className":2374,"style":1064},[1063],[572,2376,2377,2380],{"style":1067},[572,2378],{"className":2379,"style":1072},[1071],[572,2381,2383],{"className":2382},[1076,1077,1078,1079],[572,2384,1011],{"className":2385},[615,1079],[572,2387],{"className":2388,"style":758},[757],[572,2390,1115],{"className":2391},[762],[572,2393],{"className":2394,"style":758},[757],[572,2396,2398,2401],{"className":2397},[606],[572,2399],{"className":2400,"style":674},[610],[572,2402,1389],{"className":2403},[615]," und wegen ",[572,2406,2408,2426],{"className":2407},[575],[572,2409,2411],{"className":2410},[579],[581,2412,2413],{"xmlns":583},[585,2414,2415,2423],{},[588,2416,2417,2419,2421],{},[591,2418,696],{},[732,2420,734],{},[660,2422,737],{},[595,2424,2425],{"encoding":597},"b > 0",[572,2427,2429,2447],{"className":2428,"ariaHidden":602},[601],[572,2430,2432,2435,2438,2441,2444],{"className":2431},[606],[572,2433],{"className":2434,"style":812},[610],[572,2436,696],{"className":2437},[615,616],[572,2439],{"className":2440,"style":758},[757],[572,2442,734],{"className":2443},[762],[572,2445],{"className":2446,"style":758},[757],[572,2448,2450,2453],{"className":2449},[606],[572,2451],{"className":2452,"style":674},[610],[572,2454,737],{"className":2455},[615]," ist ",[572,2458,2460,2478],{"className":2459},[575],[572,2461,2463],{"className":2462},[579],[581,2464,2465],{"xmlns":583},[585,2466,2467,2475],{},[588,2468,2469,2471,2473],{},[591,2470,696],{},[732,2472,1115],{},[660,2474,1011],{},[595,2476,2477],{"encoding":597},"b = 2",[572,2479,2481,2499],{"className":2480,"ariaHidden":602},[601],[572,2482,2484,2487,2490,2493,2496],{"className":2483},[606],[572,2485],{"className":2486,"style":708},[610],[572,2488,696],{"className":2489},[615,616],[572,2491],{"className":2492,"style":758},[757],[572,2494,1115],{"className":2495},[762],[572,2497],{"className":2498,"style":758},[757],[572,2500,2502,2505],{"className":2501},[606],[572,2503],{"className":2504,"style":674},[610],[572,2506,1011],{"className":2507},[615],[572,2509,2511],{"className":2510},[1369],[572,2512,2514,2546],{"className":2513},[575],[572,2515,2517],{"className":2516},[579],[581,2518,2519],{"xmlns":583,"display":1378},[585,2520,2521,2543],{},[588,2522,2523,2525,2527,2529,2531,2533,2535,2537],{},[591,2524,1166],{},[732,2526,931],{"stretchy":930},[591,2528,593],{},[732,2530,941],{"stretchy":930},[732,2532,1115],{},[660,2534,1097],{},[732,2536,1269],{},[1013,2538,2539,2541],{},[660,2540,1011],{},[591,2542,593],{},[595,2544,2545],{"encoding":597},"f(x) = 5 \\cdot 2^x",[572,2547,2549,2576,2594],{"className":2548,"ariaHidden":602},[601],[572,2550,2552,2555,2558,2561,2564,2567,2570,2573],{"className":2551},[606],[572,2553],{"className":2554,"style":954},[610],[572,2556,1166],{"className":2557,"style":1182},[615,616],[572,2559,931],{"className":2560},[958],[572,2562,593],{"className":2563},[615,616],[572,2565,941],{"className":2566},[983],[572,2568],{"className":2569,"style":758},[757],[572,2571,1115],{"className":2572},[762],[572,2574],{"className":2575,"style":758},[757],[572,2577,2579,2582,2585,2588,2591],{"className":2578},[606],[572,2580],{"className":2581,"style":674},[610],[572,2583,1097],{"className":2584},[615],[572,2586],{"className":2587,"style":1321},[757],[572,2589,1269],{"className":2590},[1325],[572,2592],{"className":2593,"style":1321},[757],[572,2595,2597,2601],{"className":2596},[606],[572,2598],{"className":2599,"style":2600},[610],"height:0.7144em;",[572,2602,2604,2607],{"className":2603},[615],[572,2605,1011],{"className":2606},[615],[572,2608,2610],{"className":2609},[1051],[572,2611,2613],{"className":2612},[1055],[572,2614,2616],{"className":2615},[1059],[572,2617,2619],{"className":2618,"style":2600},[1063],[572,2620,2621,2624],{"style":1532},[572,2622],{"className":2623,"style":1072},[1071],[572,2625,2627],{"className":2626},[1076,1077,1078,1079],[572,2628,593],{"className":2629},[615,616,1079],[559,2631,2633],{"id":2632},"typische-fehler","Typische Fehler",[777,2635,2636,2911,2922],{},[780,2637,2638,2639,2691,2692,2795,2796,2910],{},"Erst ",[572,2640,2642,2660],{"className":2641},[575],[572,2643,2645],{"className":2644},[579],[581,2646,2647],{"xmlns":583},[585,2648,2649,2657],{},[588,2650,2651,2653,2655],{},[591,2652,730],{},[732,2654,1269],{},[591,2656,696],{},[595,2658,2659],{"encoding":597},"a \\cdot b",[572,2661,2663,2682],{"className":2662,"ariaHidden":602},[601],[572,2664,2666,2670,2673,2676,2679],{"className":2665},[606],[572,2667],{"className":2668,"style":2669},[610],"height:0.4445em;",[572,2671,730],{"className":2672},[615,616],[572,2674],{"className":2675,"style":1321},[757],[572,2677,1269],{"className":2678},[1325],[572,2680],{"className":2681,"style":1321},[757],[572,2683,2685,2688],{"className":2684},[606],[572,2686],{"className":2687,"style":708},[610],[572,2689,696],{"className":2690},[615,616]," rechnen und dann potenzieren: ",[572,2693,2695,2721],{"className":2694},[575],[572,2696,2698],{"className":2697},[579],[581,2699,2700],{"xmlns":583},[585,2701,2702,2718],{},[588,2703,2704,2706,2708,2714,2716],{},[660,2705,1266],{},[732,2707,1269],{},[1013,2709,2710,2712],{},[660,2711,1011],{},[660,2713,1389],{},[732,2715,1115],{},[660,2717,1417],{},[595,2719,2720],{"encoding":597},"3 \\cdot 2^4 = 48",[572,2722,2724,2742,2786],{"className":2723,"ariaHidden":602},[601],[572,2725,2727,2730,2733,2736,2739],{"className":2726},[606],[572,2728],{"className":2729,"style":674},[610],[572,2731,1266],{"className":2732},[615],[572,2734],{"className":2735,"style":1321},[757],[572,2737,1269],{"className":2738},[1325],[572,2740],{"className":2741,"style":1321},[757],[572,2743,2745,2748,2777,2780,2783],{"className":2744},[606],[572,2746],{"className":2747,"style":1064},[610],[572,2749,2751,2754],{"className":2750},[615],[572,2752,1011],{"className":2753},[615],[572,2755,2757],{"className":2756},[1051],[572,2758,2760],{"className":2759},[1055],[572,2761,2763],{"className":2762},[1059],[572,2764,2766],{"className":2765,"style":1064},[1063],[572,2767,2768,2771],{"style":1067},[572,2769],{"className":2770,"style":1072},[1071],[572,2772,2774],{"className":2773},[1076,1077,1078,1079],[572,2775,1389],{"className":2776},[615,1079],[572,2778],{"className":2779,"style":758},[757],[572,2781,1115],{"className":2782},[762],[572,2784],{"className":2785,"style":758},[757],[572,2787,2789,2792],{"className":2788},[606],[572,2790],{"className":2791,"style":674},[610],[572,2793,1417],{"className":2794},[615],", aber ",[572,2797,2799,2830],{"className":2798},[575],[572,2800,2802],{"className":2801},[579],[581,2803,2804],{"xmlns":583},[585,2805,2806,2827],{},[588,2807,2808,2810,2812,2814,2816,2822,2824],{},[732,2809,931],{"stretchy":930},[660,2811,1266],{},[732,2813,1269],{},[660,2815,1011],{},[1013,2817,2818,2820],{},[732,2819,941],{"stretchy":930},[660,2821,1389],{},[732,2823,1115],{},[660,2825,2826],{},"1296",[595,2828,2829],{"encoding":597},"(3 \\cdot 2)^4 = 1296",[572,2831,2833,2854,2901],{"className":2832,"ariaHidden":602},[601],[572,2834,2836,2839,2842,2845,2848,2851],{"className":2835},[606],[572,2837],{"className":2838,"style":954},[610],[572,2840,931],{"className":2841},[958],[572,2843,1266],{"className":2844},[615],[572,2846],{"className":2847,"style":1321},[757],[572,2849,1269],{"className":2850},[1325],[572,2852],{"className":2853,"style":1321},[757],[572,2855,2857,2860,2863,2892,2895,2898],{"className":2856},[606],[572,2858],{"className":2859,"style":1032},[610],[572,2861,1011],{"className":2862},[615],[572,2864,2866,2869],{"className":2865},[983],[572,2867,941],{"className":2868},[983],[572,2870,2872],{"className":2871},[1051],[572,2873,2875],{"className":2874},[1055],[572,2876,2878],{"className":2877},[1059],[572,2879,2881],{"className":2880,"style":1064},[1063],[572,2882,2883,2886],{"style":1067},[572,2884],{"className":2885,"style":1072},[1071],[572,2887,2889],{"className":2888},[1076,1077,1078,1079],[572,2890,1389],{"className":2891},[615,1079],[572,2893],{"className":2894,"style":758},[757],[572,2896,1115],{"className":2897},[762],[572,2899],{"className":2900,"style":758},[757],[572,2902,2904,2907],{"className":2903},[606],[572,2905],{"className":2906,"style":674},[610],[572,2908,2826],{"className":2909},[615],". Potenz geht vor Punktrechnung.",[780,2912,2913,2914,2917,2918,2921],{},"Exponentiell und linear verwechseln: Steigen die Werte pro Schritt um denselben ",[568,2915,2916],{},"Betrag",", ist es linear; um denselben ",[568,2919,2920],{},"Faktor",", exponentiell.",[780,2923,2924,2925,3005],{},"Beim Aufstellen die negative Lösung von ",[572,2926,2928,2949],{"className":2927},[575],[572,2929,2931],{"className":2930},[579],[581,2932,2933],{"xmlns":583},[585,2934,2935,2947],{},[588,2936,2937,2943,2945],{},[1013,2938,2939,2941],{},[591,2940,696],{},[660,2942,1011],{},[732,2944,1115],{},[660,2946,1389],{},[595,2948,2347],{"encoding":597},[572,2950,2952,2996],{"className":2951,"ariaHidden":602},[601],[572,2953,2955,2958,2987,2990,2993],{"className":2954},[606],[572,2956],{"className":2957,"style":1064},[610],[572,2959,2961,2964],{"className":2960},[615],[572,2962,696],{"className":2963},[615,616],[572,2965,2967],{"className":2966},[1051],[572,2968,2970],{"className":2969},[1055],[572,2971,2973],{"className":2972},[1059],[572,2974,2976],{"className":2975,"style":1064},[1063],[572,2977,2978,2981],{"style":1067},[572,2979],{"className":2980,"style":1072},[1071],[572,2982,2984],{"className":2983},[1076,1077,1078,1079],[572,2985,1011],{"className":2986},[615,1079],[572,2988],{"className":2989,"style":758},[757],[572,2991,1115],{"className":2992},[762],[572,2994],{"className":2995,"style":758},[757],[572,2997,2999,3002],{"className":2998},[606],[572,3000],{"className":3001,"style":674},[610],[572,3003,1389],{"className":3004},[615]," nehmen: Die Basis muss positiv sein.",{"title":3007,"searchDepth":3008,"depth":3008,"links":3009},"",2,[3010,3011,3012],{"id":561,"depth":3008,"text":562},{"id":1238,"depth":3008,"text":1239},{"id":2632,"depth":3008,"text":2633},[3014,3017,3019,3024,3028,3032,3034,3036],{"lhs":3015,"rhs":3016},"a*b^(x + 1)","b * a*b^x",{"lhs":3018,"rhs":730},"a*b^0",{"lhs":3020,"rhs":1417,"where":3021},"a*b^x",{"a":3022,"b":3008,"x":3023},3,4,{"lhs":3020,"rhs":3025,"where":3026},"1.5",{"a":3022,"b":3008,"x":3027},-1,{"lhs":3020,"rhs":662,"where":3029},{"a":3030,"b":3031,"x":3022},8,0.5,{"lhs":3033,"rhs":1011},"sqrt(20\u002F5)",{"lhs":3035,"rhs":2057},"5*2^2",{"lhs":3037,"rhs":2826},"(3*2)^4","a \\neq 0,\\ b > 0,\\ b \\neq 1","\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>0\u003C\u002Fmn>\u003Cmo 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