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221對數(shù)與對數(shù)的運算第2課時-資料下載頁

2025-11-11 23:57本頁面

【導讀】NaNa?log)4(. 01log)1(?a. 1log)2(?aa. +. ,logpMa?,logqNa?,paM?qaN?pqa??logaMNpq???MN?MN??aaaloglogMlogN. MN??aaaloglogMlogN. 條件:a>0,a?1,M>0,N>0. ,logpMa?,paM?npnaM?npMna??log. (3)??naalogMnlogM(nR). (3)??naalogMnlogM(nR). ,loglog)(logNMMNaaa??NMNMaaaloglog)(log???15log5log33?2lg5lg?55?3log6log22?2?2log2?1?)25lg(??10lg?1?5??1log5?0?3?1??log?)0),,1()1,0(,(????Nca?其中。,paN?則:pNa?log. ,loglogpccaN??,loglogapNcc??a. log??8log7log3log732??3?log?),1()1,0(,????ba. loglog?loglog?1log??1loglog??abba. mloglog?a?0),,1()1,0(,????Nca?公式中條件:。)(51loglog??abba

  

【正文】 ),1()1,0(, ??? ?ba證明 : 還可以變形為: aNNcca lo glo glo g ?abbbba logloglog ?abba l og1l og ??1l o gl o g ?? ab ba重要公式 3: NmnNanam l ogl og ?)()()(3R)M ( nn l o gMl o g2Nl o gMl o gNMl o g1Nl o gMl o g( M N )l o ganaaaaaaa??????)( 6l ogl og NmnNana m?)4(l ogl ogl ogaNNcca ?0),1()1,0(, ???? Nca ?公式中條件:)( 51l o gl o g ?? ab
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