JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 17 March 2021, Shift 1, Maths Q69

Question 69 of 90 in this shift, Maths question 9 of 30, Section A.

The inverse of

y=5^{\log x}

is :

(1) $x=5^{\frac{1}{\log y}}$
(2) $x=y^{\frac{1}{\log 5}}$ Official answer
(3) $x=5^{\log y}$
(4) $x=y^{\log 5}$

Official answer

Option 2

NTA final key.

Chapter: Relations and Functions
Topic: Functions and Domain
Idea tested: Domain and Range of Inverse Functions

Same idea in other shifts

Asked 3× in all

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.