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v",[572,919,921,1056],{"className":920,"ariaHidden":636},[635],[572,922,924,928,977,981,1047,1050,1053],{"className":923},[640],[572,925],{"className":926,"style":927},[644],"height:2.0074em;vertical-align:-0.686em;",[572,929,932,940],{"className":930},[931],"mop",[572,933,935,936],{"className":934},[931],"lo",[572,937,939],{"style":938},"margin-right:0.0139em;","g",[572,941,943],{"className":942},[700],[572,944,946,968],{"className":945},[661,662],[572,947,949,965],{"className":948},[666],[572,950,953],{"className":951,"style":952},[670],"height:0.0573em;",[572,954,956,959],{"style":955},"top:-2.4559em;margin-right:0.05em;",[572,957],{"className":958,"style":842},[678],[572,960,962],{"className":961},[683,684,685,686],[572,963,599],{"className":964},[649,696,686],[572,966,785],{"className":967},[784],[572,969,971],{"className":970},[666],[572,972,975],{"className":973,"style":974},[670],"height:0.2441em;",[572,976],{},[572,978],{"className":979,"style":980},[802],"margin-right:0.1667em;",[572,982,984,987,1044],{"className":983},[649],[572,985],{"className":986},[653,654],[572,988,990],{"className":989},[591],[572,991,993,1035],{"className":992},[661,662],[572,994,996,1032],{"className":995},[666],[572,997,1000,1012,1020],{"className":998,"style":999},[670],"height:1.3214em;",[572,1001,1003,1006],{"style":1002},"top:-2.314em;",[572,1004],{"className":1005,"style":679},[678],[572,1007,1009],{"className":1008},[649],[572,1010,898],{"className":1011,"style":726},[649,696],[572,1013,1014,1017],{"style":729},[572,1015],{"className":1016,"style":679},[678],[572,1018],{"className":1019,"style":737},[736],[572,1021,1023,1026],{"style":1022},"top:-3.677em;",[572,1024],{"className":1025,"style":679},[678],[572,1027,1029],{"className":1028},[649],[572,1030,895],{"className":1031},[649],[572,1033,785],{"className":1034},[784],[572,1036,1038],{"className":1037},[666],[572,1039,1042],{"className":1040,"style":1041},[670],"height:0.686em;",[572,1043],{},[572,1045],{"className":1046},[798,654],[572,1048],{"className":1049,"style":803},[802],[572,1051,613],{"className":1052},[807],[572,1054],{"className":1055,"style":803},[802],[572,1057,1059,1063,1066,1069,1111,1114],{"className":1058},[640],[572,1060],{"className":1061,"style":1062},[644],"height:0.9386em;vertical-align:-0.2441em;",[572,1064,624],{"className":1065},[649],[572,1067],{"className":1068,"style":980},[802],[572,1070,1072,1077],{"className":1071},[931],[572,1073,935,1075],{"className":1074},[931],[572,1076,939],{"style":938},[572,1078,1080],{"className":1079},[700],[572,1081,1083,1103],{"className":1082},[661,662],[572,1084,1086,1100],{"className":1085},[666],[572,1087,1089],{"className":1088,"style":952},[670],[572,1090,1091,1094],{"style":955},[572,1092],{"className":1093,"style":842},[678],[572,1095,1097],{"className":1096},[683,684,685,686],[572,1098,599],{"className":1099},[649,696,686],[572,1101,785],{"className":1102},[784],[572,1104,1106],{"className":1105},[666],[572,1107,1109],{"className":1108,"style":974},[670],[572,1110],{},[572,1112],{"className":1113,"style":980},[802],[572,1115,898],{"className":1116,"style":726},[649,696],[558,1118,1120],{"id":1119},"beispiele","Beispiele",[572,1122,1124],{"className":1123},[863],[572,1125,1127,1200],{"className":1126},[575],[572,1128,1130],{"className":1129},[579],[581,1131,1132],{"xmlns":583,"display":872},[585,1133,1134,1197],{},[588,1135,1136,1147,1155,1157,1167,1169,1171,1181,1183,1185,1188,1190,1193,1195],{},[878,1137,1138,1144],{},[588,1139,1140,1142],{},[597,1141,884],{},[611,1143,887],{},[893,1145,1146],{},"3",[591,1148,1149,1152],{},[893,1150,1151],{},"81",[893,1153,1154],{},"9",[611,1156,613],{},[878,1158,1159,1165],{},[588,1160,1161,1163],{},[597,1162,884],{},[611,1164,887],{},[893,1166,1146],{},[893,1168,1151],{},[611,1170,624],{},[878,1172,1173,1179],{},[588,1174,1175,1177],{},[597,1176,884],{},[611,1178,887],{},[893,1180,1146],{},[893,1182,1154],{},[611,1184,613],{},[893,1186,1187],{},"4",[611,1189,624],{},[893,1191,1192],{},"2",[611,1194,613],{},[893,1196,1192],{},[628,1198,1199],{"encoding":630},"\\log_3 \\frac{81}{9} = \\log_3 81 - \\log_3 9 = 4 - 2 = 2",[572,1201,1203,1326,1390,1453,1472,1491],{"className":1202,"ariaHidden":636},[635],[572,1204,1206,1209,1252,1255,1317,1320,1323],{"className":1205},[640],[572,1207],{"className":1208,"style":927},[644],[572,1210,1212,1217],{"className":1211},[931],[572,1213,935,1215],{"className":1214},[931],[572,1216,939],{"style":938},[572,1218,1220],{"className":1219},[700],[572,1221,1223,1244],{"className":1222},[661,662],[572,1224,1226,1241],{"className":1225},[666],[572,1227,1230],{"className":1228,"style":1229},[670],"height:0.207em;",[572,1231,1232,1235],{"style":955},[572,1233],{"className":1234,"style":842},[678],[572,1236,1238],{"className":1237},[683,684,685,686],[572,1239,1146],{"className":1240},[649,686],[572,1242,785],{"className":1243},[784],[572,1245,1247],{"className":1246},[666],[572,1248,1250],{"className":1249,"style":974},[670],[572,1251],{},[572,1253],{"className":1254,"style":980},[802],[572,1256,1258,1261,1314],{"className":1257},[649],[572,1259],{"className":1260},[653,654],[572,1262,1264],{"className":1263},[591],[572,1265,1267,1306],{"className":1266},[661,662],[572,1268,1270,1303],{"className":1269},[666],[572,1271,1273,1284,1292],{"className":1272,"style":999},[670],[572,1274,1275,1278],{"style":1002},[572,1276],{"className":1277,"style":679},[678],[572,1279,1281],{"className":1280},[649],[572,1282,1154],{"className":1283},[649],[572,1285,1286,1289],{"style":729},[572,1287],{"className":1288,"style":679},[678],[572,1290],{"className":1291,"style":737},[736],[572,1293,1294,1297],{"style":1022},[572,1295],{"className":1296,"style":679},[678],[572,1298,1300],{"className":1299},[649],[572,1301,1151],{"className":1302},[649],[572,1304,785],{"className":1305},[784],[572,1307,1309],{"className":1308},[666],[572,1310,1312],{"className":1311,"style":1041},[670],[572,1313],{},[572,1315],{"className":1316},[798,654],[572,1318],{"className":1319,"style":803},[802],[572,1321,613],{"className":1322},[807],[572,1324],{"className":1325,"style":803},[802],[572,1327,1329,1332,1374,1377,1380,1384,1387],{"className":1328},[640],[572,1330],{"className":1331,"style":1062},[644],[572,1333,1335,1340],{"className":1334},[931],[572,1336,935,1338],{"className":1337},[931],[572,1339,939],{"style":938},[572,1341,1343],{"className":1342},[700],[572,1344,1346,1366],{"className":1345},[661,662],[572,1347,1349,1363],{"className":1348},[666],[572,1350,1352],{"className":1351,"style":1229},[670],[572,1353,1354,1357],{"style":955},[572,1355],{"className":1356,"style":842},[678],[572,1358,1360],{"className":1359},[683,684,685,686],[572,1361,1146],{"className":1362},[649,686],[572,1364,785],{"className":1365},[784],[572,1367,1369],{"className":1368},[666],[572,1370,1372],{"className":1371,"style":974},[670],[572,1373],{},[572,1375],{"className":1376,"style":980},[802],[572,1378,1151],{"className":1379},[649],[572,1381],{"className":1382,"style":1383},[802],"margin-right:0.2222em;",[572,1385,624],{"className":1386},[855],[572,1388],{"className":1389,"style":1383},[802],[572,1391,1393,1396,1438,1441,1444,1447,1450],{"className":1392},[640],[572,1394],{"className":1395,"style":1062},[644],[572,1397,1399,1404],{"className":1398},[931],[572,1400,935,1402],{"className":1401},[931],[572,1403,939],{"style":938},[572,1405,1407],{"className":1406},[700],[572,1408,1410,1430],{"className":1409},[661,662],[572,1411,1413,1427],{"className":1412},[666],[572,1414,1416],{"className":1415,"style":1229},[670],[572,1417,1418,1421],{"style":955},[572,1419],{"className":1420,"style":842},[678],[572,1422,1424],{"className":1423},[683,684,685,686],[572,1425,1146],{"className":1426},[649,686],[572,1428,785],{"className":1429},[784],[572,1431,1433],{"className":1432},[666],[572,1434,1436],{"className":1435,"style":974},[670],[572,1437],{},[572,1439],{"className":1440,"style":980},[802],[572,1442,1154],{"className":1443},[649],[572,1445],{"className":1446,"style":803},[802],[572,1448,613],{"className":1449},[807],[572,1451],{"className":1452,"style":803},[802],[572,1454,1456,1460,1463,1466,1469],{"className":1455},[640],[572,1457],{"className":1458,"style":1459},[644],"height:0.7278em;vertical-align:-0.0833em;",[572,1461,1187],{"className":1462},[649],[572,1464],{"className":1465,"style":1383},[802],[572,1467,624],{"className":1468},[855],[572,1470],{"className":1471,"style":1383},[802],[572,1473,1475,1479,1482,1485,1488],{"className":1474},[640],[572,1476],{"className":1477,"style":1478},[644],"height:0.6444em;",[572,1480,1192],{"className":1481},[649],[572,1483],{"className":1484,"style":803},[802],[572,1486,613],{"className":1487},[807],[572,1489],{"className":1490,"style":803},[802],[572,1492,1494,1497],{"className":1493},[640],[572,1495],{"className":1496,"style":1478},[644],[572,1498,1192],{"className":1499},[649],[572,1501,1503],{"className":1502},[863],[572,1504,1506,1570],{"className":1505},[575],[572,1507,1509],{"className":1508},[579],[581,1510,1511],{"xmlns":583,"display":872},[585,1512,1513,1567],{},[588,1514,1515,1518,1520,1523,1525,1527,1529,1536,1538,1540,1542,1544,1546,1548,1550,1552,1554,1557,1559,1561,1563,1565],{},[597,1516,1517],{},"lg",[611,1519,887],{},[893,1521,1522],{},"0,01",[611,1524,613],{},[597,1526,1517],{},[611,1528,887],{},[591,1530,1531,1533],{},[893,1532,895],{},[893,1534,1535],{},"100",[611,1537,613],{},[597,1539,1517],{},[611,1541,887],{},[893,1543,895],{},[611,1545,624],{},[597,1547,1517],{},[611,1549,887],{},[893,1551,1535],{},[611,1553,613],{},[893,1555,1556],{},"0",[611,1558,624],{},[893,1560,1192],{},[611,1562,613],{},[611,1564,624],{},[893,1566,1192],{},[628,1568,1569],{"encoding":630},"\\lg 0{,}01 = \\lg \\frac{1}{100} = \\lg 1 - \\lg 100 = 0 - 2 = -2",[572,1571,1573,1613,1698,1724,1750,1768,1786],{"className":1572,"ariaHidden":636},[635],[572,1574,1576,1580,1586,1589,1592,1600,1604,1607,1610],{"className":1575},[640],[572,1577],{"className":1578,"style":1579},[644],"height:0.8889em;vertical-align:-0.1944em;",[572,1581,1583,1584],{"className":1582},[931],"l",[572,1585,939],{"style":938},[572,1587],{"className":1588,"style":980},[802],[572,1590,1556],{"className":1591},[649],[572,1593,1595],{"className":1594},[649],[572,1596,1599],{"className":1597},[1598],"mpunct",",",[572,1601,1603],{"className":1602},[649],"01",[572,1605],{"className":1606,"style":803},[802],[572,1608,613],{"className":1609},[807],[572,1611],{"className":1612,"style":803},[802],[572,1614,1616,1619,1624,1627,1689,1692,1695],{"className":1615},[640],[572,1617],{"className":1618,"style":927},[644],[572,1620,1583,1622],{"className":1621},[931],[572,1623,939],{"style":938},[572,1625],{"className":1626,"style":980},[802],[572,1628,1630,1633,1686],{"className":1629},[649],[572,1631],{"className":1632},[653,654],[572,1634,1636],{"className":1635},[591],[572,1637,1639,1678],{"className":1638},[661,662],[572,1640,1642,1675],{"className":1641},[666],[572,1643,1645,1656,1664],{"className":1644,"style":999},[670],[572,1646,1647,1650],{"style":1002},[572,1648],{"className":1649,"style":679},[678],[572,1651,1653],{"className":1652},[649],[572,1654,1535],{"className":1655},[649],[572,1657,1658,1661],{"style":729},[572,1659],{"className":1660,"style":679},[678],[572,1662],{"className":1663,"style":737},[736],[572,1665,1666,1669],{"style":1022},[572,1667],{"className":1668,"style":679},[678],[572,1670,1672],{"className":1671},[649],[572,1673,895],{"className":1674},[649],[572,1676,785],{"className":1677},[784],[572,1679,1681],{"className":1680},[666],[572,1682,1684],{"className":1683,"style":1041},[670],[572,1685],{},[572,1687],{"className":1688},[798,654],[572,1690],{"className":1691,"style":803},[802],[572,1693,613],{"className":1694},[807],[572,1696],{"className":1697,"style":803},[802],[572,1699,1701,1704,1709,1712,1715,1718,1721],{"className":1700},[640],[572,1702],{"className":1703,"style":1579},[644],[572,1705,1583,1707],{"className":1706},[931],[572,1708,939],{"style":938},[572,1710],{"className":1711,"style":980},[802],[572,1713,895],{"className":1714},[649],[572,1716],{"className":1717,"style":1383},[802],[572,1719,624],{"className":1720},[855],[572,1722],{"className":1723,"style":1383},[802],[572,1725,1727,1730,1735,1738,1741,1744,1747],{"className":1726},[640],[572,1728],{"className":1729,"style":1579},[644],[572,1731,1583,1733],{"className":1732},[931],[572,1734,939],{"style":938},[572,1736],{"className":1737,"style":980},[802],[572,1739,1535],{"className":1740},[649],[572,1742],{"className":1743,"style":803},[802],[572,1745,613],{"className":1746},[807],[572,1748],{"className":1749,"style":803},[802],[572,1751,1753,1756,1759,1762,1765],{"className":1752},[640],[572,1754],{"className":1755,"style":1459},[644],[572,1757,1556],{"className":1758},[649],[572,1760],{"className":1761,"style":1383},[802],[572,1763,624],{"className":1764},[855],[572,1766],{"className":1767,"style":1383},[802],[572,1769,1771,1774,1777,1780,1783],{"className":1770},[640],[572,1772],{"className":1773,"style":1478},[644],[572,1775,1192],{"className":1776},[649],[572,1778],{"className":1779,"style":803},[802],[572,1781,613],{"className":1782},[807],[572,1784],{"className":1785,"style":803},[802],[572,1787,1789,1792,1795],{"className":1788},[640],[572,1790],{"className":1791,"style":1459},[644],[572,1793,624],{"className":1794},[649],[572,1796,1192],{"className":1797},[649],[558,1799,1801],{"id":1800},"typische-fehler","Typische Fehler",[1803,1804,1805,2242],"ul",{},[1806,1807,1808,1809,2241],"li",{},"Logarithmen dividieren: ",[572,1810,1812,1885],{"className":1811},[575],[572,1813,1815],{"className":1814},[579],[581,1816,1817],{"xmlns":583},[585,1818,1819,1882],{},[588,1820,1821,1852,1856,1866,1868,1870,1880],{},[591,1822,1823,1838],{},[588,1824,1825,1835],{},[878,1826,1827,1833],{},[588,1828,1829,1831],{},[597,1830,884],{},[611,1832,887],{},[597,1834,599],{},[597,1836,1837],{},"u",[588,1839,1840,1850],{},[878,1841,1842,1848],{},[588,1843,1844,1846],{},[597,1845,884],{},[611,1847,887],{},[597,1849,599],{},[597,1851,898],{},[611,1853,1855],{"mathvariant":1854},"normal","≠",[878,1857,1858,1864],{},[588,1859,1860,1862],{},[597,1861,884],{},[611,1863,887],{},[597,1865,599],{},[597,1867,1837],{},[611,1869,624],{},[878,1871,1872,1878],{},[588,1873,1874,1876],{},[597,1875,884],{},[611,1877,887],{},[597,1879,599],{},[597,1881,898],{},[628,1883,1884],{"encoding":630},"\\frac{\\log_a u}{\\log_a v} \\neq \\log_a u - \\log_a v",[572,1886,1888,2124,2187],{"className":1887,"ariaHidden":636},[635],[572,1889,1891,1895,2075,2078,2121],{"className":1890},[640],[572,1892],{"className":1893,"style":1894},[644],"height:1.5133em;vertical-align:-0.5311em;",[572,1896,1898,1901,2072],{"className":1897},[649],[572,1899],{"className":1900},[653,654],[572,1902,1904],{"className":1903},[591],[572,1905,1907,2063],{"className":1906},[661,662],[572,1908,1910,2060],{"className":1909},[666],[572,1911,1914,1985,1993],{"className":1912,"style":1913},[670],"height:0.9822em;",[572,1915,1916,1919],{"style":674},[572,1917],{"className":1918,"style":679},[678],[572,1920,1922],{"className":1921},[683,684,685,686],[572,1923,1925,1978,1982],{"className":1924},[649,686],[572,1926,1928,1941],{"className":1927},[931,686],[572,1929,1931,1934,1938],{"className":1930},[931,686],[572,1932,1583],{"className":1933},[686],[572,1935,1937],{"className":1936},[686],"o",[572,1939,939],{"className":1940,"style":938},[686],[572,1942,1944],{"className":1943},[700],[572,1945,1947,1969],{"className":1946},[661,662],[572,1948,1950,1966],{"className":1949},[666],[572,1951,1954],{"className":1952,"style":1953},[670],"height:0.0417em;",[572,1955,1957,1960],{"style":1956},"top:-2.2341em;margin-right:0.0714em;",[572,1958],{"className":1959,"style":717},[678],[572,1961,1963],{"className":1962},[683,721,722,686],[572,1964,599],{"className":1965},[649,696,686],[572,1967,785],{"className":1968},[784],[572,1970,1972],{"className":1971},[666],[572,1973,1976],{"className":1974,"style":1975},[670],"height:0.2659em;",[572,1977],{},[572,1979],{"className":1980,"style":1981},[802,686],"margin-right:0.1952em;",[572,1983,898],{"className":1984,"style":726},[649,696,686],[572,1986,1987,1990],{"style":729},[572,1988],{"className":1989,"style":679},[678],[572,1991],{"className":1992,"style":737},[736],[572,1994,1996,1999],{"style":1995},"top:-3.4961em;",[572,1997],{"className":1998,"style":679},[678],[572,2000,2002],{"className":2001},[683,684,685,686],[572,2003,2005,2054,2057],{"className":2004},[649,686],[572,2006,2008,2020],{"className":2007},[931,686],[572,2009,2011,2014,2017],{"className":2010},[931,686],[572,2012,1583],{"className":2013},[686],[572,2015,1937],{"className":2016},[686],[572,2018,939],{"className":2019,"style":938},[686],[572,2021,2023],{"className":2022},[700],[572,2024,2026,2046],{"className":2025},[661,662],[572,2027,2029,2043],{"className":2028},[666],[572,2030,2032],{"className":2031,"style":1953},[670],[572,2033,2034,2037],{"style":1956},[572,2035],{"className":2036,"style":717},[678],[572,2038,2040],{"className":2039},[683,721,722,686],[572,2041,599],{"className":2042},[649,696,686],[572,2044,785],{"className":2045},[784],[572,2047,2049],{"className":2048},[666],[572,2050,2052],{"className":2051,"style":1975},[670],[572,2053],{},[572,2055],{"className":2056,"style":1981},[802,686],[572,2058,1837],{"className":2059},[649,696,686],[572,2061,785],{"className":2062},[784],[572,2064,2066],{"className":2065},[666],[572,2067,2070],{"className":2068,"style":2069},[670],"height:0.5311em;",[572,2071],{},[572,2073],{"className":2074},[798,654],[572,2076],{"className":2077,"style":803},[802],[572,2079,2081,2114,2118],{"className":2080},[807],[572,2082,2084],{"className":2083},[807],[572,2085,2088],{"className":2086},[649,2087],"vbox",[572,2089,2092],{"className":2090},[2091],"thinbox",[572,2093,2096,2099,2110],{"className":2094},[2095],"rlap",[572,2097],{"className":2098,"style":1579},[644],[572,2100,2103],{"className":2101},[2102],"inner",[572,2104,2106],{"className":2105},[649],[572,2107,2109],{"className":2108},[807],"",[572,2111],{"className":2112},[2113],"fix",[572,2115],{"className":2116},[802,2117],"nobreak",[572,2119,613],{"className":2120},[807],[572,2122],{"className":2123,"style":803},[802],[572,2125,2127,2130,2172,2175,2178,2181,2184],{"className":2126},[640],[572,2128],{"className":2129,"style":1062},[644],[572,2131,2133,2138],{"className":2132},[931],[572,2134,935,2136],{"className":2135},[931],[572,2137,939],{"style":938},[572,2139,2141],{"className":2140},[700],[572,2142,2144,2164],{"className":2143},[661,662],[572,2145,2147,2161],{"className":2146},[666],[572,2148,2150],{"className":2149,"style":952},[670],[572,2151,2152,2155],{"style":955},[572,2153],{"className":2154,"style":842},[678],[572,2156,2158],{"className":2157},[683,684,685,686],[572,2159,599],{"className":2160},[649,696,686],[572,2162,785],{"className":2163},[784],[572,2165,2167],{"className":2166},[666],[572,2168,2170],{"className":2169,"style":974},[670],[572,2171],{},[572,2173],{"className":2174,"style":980},[802],[572,2176,1837],{"className":2177},[649,696],[572,2179],{"className":2180,"style":1383},[802],[572,2182,624],{"className":2183},[855],[572,2185],{"className":2186,"style":1383},[802],[572,2188,2190,2193,2235,2238],{"className":2189},[640],[572,2191],{"className":2192,"style":1062},[644],[572,2194,2196,2201],{"className":2195},[931],[572,2197,935,2199],{"className":2198},[931],[572,2200,939],{"style":938},[572,2202,2204],{"className":2203},[700],[572,2205,2207,2227],{"className":2206},[661,662],[572,2208,2210,2224],{"className":2209},[666],[572,2211,2213],{"className":2212,"style":952},[670],[572,2214,2215,2218],{"style":955},[572,2216],{"className":2217,"style":842},[678],[572,2219,2221],{"className":2220},[683,684,685,686],[572,2222,599],{"className":2223},[649,696,686],[572,2225,785],{"className":2226},[784],[572,2228,2230],{"className":2229},[666],[572,2231,2233],{"className":2232,"style":974},[670],[572,2234],{},[572,2236],{"className":2237,"style":980},[802],[572,2239,898],{"className":2240,"style":726},[649,696],". Der Quotient zweier Logarithmen gehört zum Basiswechsel.",[1806,2243,2244],{},"Die Reihenfolge vertauschen: Es ist Logarithmus des Zählers minus Logarithmus des Nenners.",{"title":2246,"searchDepth":2247,"depth":2247,"links":2248},"",2,[2249,2250,2251],{"id":560,"depth":2247,"text":561},{"id":1119,"depth":2247,"text":1120},{"id":1800,"depth":2247,"text":1801},[2253,2256,2259,2262,2264],{"lhs":2254,"rhs":2255},"log(u\u002Fv, a)","log(u, a) - log(v, a)",{"lhs":2257,"rhs":2258},"log(81\u002F9, 3)","4 - 2",{"lhs":2260,"rhs":2261},"log10(0.01)","log10(1) - log10(100)",{"lhs":2260,"rhs":2263},"-2",{"lhs":2265,"rhs":2266},"log(1\u002Fv, a)","-log(v, a)","a > 0,\\ a \\neq 1,\\ u, v > 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>u\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>v\u003C\u002Fmi>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">u, v > 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:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">u\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">v\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","log-quotient-rule","\\log_a \\frac{u}{v} = \\log_a u - \\log_a v","\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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