求证:logbN=(logaN)/[(loga)b]
问题描述:
求证:logbN=(logaN)/[(loga)b]
答
设
a^x=N
a^y=b
=>
b^(1/y)=a
=>
b^(x/y)=a^x=M
=>
logbN=x/y = (logaN)/(loga(b))