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2.2.1对数与对数运算(三)复习引入积、商、幂的对数运算法则:如果a>0,且a≠1,M>0,N>0有:(1)loglog)(logNMMNaaa(2)logloglogNMNMaaa(3))(loglogRnMnMana讲授新课abbccalogloglog(a>0,a≠1,c>0,c≠1,b>0)1.对数换底公式:1loglog)1(abba1logloglogacbcbabmnbanamloglog)2(2.两个常用的推论:(a,b>0且均不为1).例1例题与练习)2log2)(log3log3(log)2(2log5log4log3log)1(93845432计算下列各式例2设log34·log48·log8m=log416,求m的值.例3计算3log12.05)1(4log16log)2(327例4.45log36求,已知a9log)1(18,518b.123643)2(的值求,已知yxyx例题与练习例5已知logax=logac+b,求x的值.6log]18log2log)3log1[(.25log20lg466261002.求值练习.)2()4()2(,2333log4)3(.382的值求已知fffxfx.)21(,)(log.12的值求已知fxxf课堂小结换底公式及其推论
本文标题:对数及其运算三
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