Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsInverseEasy2 minPYQ_2021

MathematicsEasysingle choice

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

Options:

Answer:

C

Solution:

Given, $y = 5^{\log x}$

$y = x^{\log 5} (∴ b^{\log a} = a^{\log b})$

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

Replacing $x \to y$ and $y \to x$

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

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Inverse

⏱ 2mℹ️ Source: PYQ_2021

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