Question: The inverse of $y=5^{\log x \text { is : }}$
(1) $x=(1 / y)^{\log 5}$
(2) $x=y^{\frac{1}{\log 5}}$
(3) $x=5^{\log y}$
(4) $x=5^{\frac{1}{\ln y}}$
Correct Option: , 3
Solution:
$y=5^{\log x}$
$y=x^{\log 5}$
$y^{\frac{1}{\log x}}=x$
Replying $x \rightarrow y$ and $y \rightarrow x$
