求对数函数公式的推导log(a)(M^n)=nlog(a)(-查字典问答网
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  求对数函数公式的推导log(a)(M^n)=nlog(a)(M)和log(a)(N)=log(b)(N)/log(b)(a)的推导

  求对数函数公式的推导

  log(a)(M^n)=nlog(a)(M)

  和log(a)(N)=log(b)(N)/log(b)(a)的推导

1回答
2020-04-05 09:47
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郭文宏

  log(a)(M^n)

  =log(a)(M*M*M*..M)(n个M)

  =log(a)(M)+log(a)(M)+log(a)(M)+.+log(a)(M)(n个log(a)(M))

  =nlog(a)(M)

  log(a)(N)

  =log(a)[b^log(b)(N)]

  =log(b)(N)log(a)(b)

  =log(b)(N)log(a)(a^log(b)(a))

  =log(b)(N)/log(b)(a)

2020-04-05 09:47:58

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