if-a-b-and-c-are-positive-find-a-b-log-10-c-b-c-log-10-a-c-a-log-10-b-

Question Number 71134 by Mr. K last updated on 11/Oct/19

i f a, b a n d c a r e p o s i t i v e, f i n d :

{(\frac{a}{b})}^{{l o g}_{10} c} \times {(\frac{b}{c})}^{{l o g}_{10} a} \times {(\frac{c}{a})}^{{l o g}_{10} b}

Answered by MJS last updated on 12/Oct/19

\log x^{\log y} = \log y \log x = \log y^{\log x} \Rightarrow x^{\log y} = y^{\log x}

\Rightarrow answer = 1

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