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对数函数第二条性质的证明

log以a为底m的n次方的对数等于n倍的log以a为底m的对数证明？

2025-04-04 00:15:02

推荐回答（1个）

回答1：

证明：设log以a为底m的对数=p
则a^p=m
所以 log以a为底m的对数= log以a为底a^p的n次方的对数=loga(底数）a^pn(真数=np

而n倍的log以a为底m的对数=np

所以log以a为底m的n次方的对数等于n倍的log以a为底m的对数

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