QJEEM21Ma4857: JEE Main 2021 Mathematics - Class 11 JEEM21Ma4857 Solution: The inverse of y = 5 log ⁡ x is :

Question

Verified Solution • 2025–26 Session moderate

The inverse of

y = 5^{\log x}

is :

Accepted Answer

y = 5^{\log x}

\Rightarrow \log y = \log x . l o g 5

\Rightarrow \log x = \frac{\log y}{\log 5} = \log_{5} y

\Rightarrow x = e^{\log_{5} y}

\Rightarrow x = y^{\log_{5} e}

\Rightarrow x = y^{\frac{1}{\log 5}}

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