The inverse of

Question:

The inverse of $y=5^{\log x \text { is : }}$

1. (1) $x=(1 / y)^{\log 5}$

2. (2) $x=y^{\frac{1}{\log 5}}$

3. (3) $x=5^{\log y}$

4. (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 $y \rightarrow x$
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