The inverse of y=5^{ x} is [17 Mar 2021 Shift 1]

Correct Answer is : x=y 1log⁡5x=y^{\;1/ 5}x=ylog51

Correct Answer is : x=y 1log⁡5x=y^{\;1/ 5}x=ylog51

Test Index

Functions Part 1

Section: Mathematics

Question : 44 of 100

Marks: +1, -0

The inverse of

y=5^{\log x}

Solution:

y=5^{\log x}

Taking log on both sides,

\log y = \log x \cdot \log 5

\Rightarrow \;\; \;\frac{1}{\log 5}=\;\frac{\log x}{\log y} \Rightarrow \;\frac{1}{\log 5}=\log_y x

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

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