推导log(a)(M/N)

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推导log(a)(M/N)推导log(a)(M/N)推导log(a)(M/N)设a^x=M,a^y=NM/N=(a^x)/(a^y)=a^(x-y)loga(M/N)=logaa^(x-y)=x-yl

推导log(a)(M/N)
推导log(a)(M/N)

推导log(a)(M/N)
设a^x=M,a^y=N
M/N=(a^x)/(a^y)=a^(x-y)
loga (M/N)=loga a^(x-y)=x-y
loga M-loga N=x-y
所以loga (M/N)=loga M-loga N

logaM-logaN