(loga x)^n=logx x^n

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(logax)^n=logxx^n(logax)^n=logxx^n(logax)^n=logxx^n[loga(x)]^n=nloga(x)=n^(-n)x=a^[n^(-n)]

(loga x)^n=logx x^n
(loga x)^n=logx x^n

(loga x)^n=logx x^n
[loga(x)]^n=n
loga(x)=n^(-n)
x=a^[n^(-n)]