JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 16 March 2021, Shift 2, Maths Q90

Question 90 of 90 in this shift, Maths question 30 of 30, Section B.

Let

S_n(x)=\log_{a^{1/2}}x+\log_{a^{1/3}}x+\log_{a^{1/6}}x+\log_{a^{1/11}}x+\log_{a^{1/18}}x+\log_{a^{1/27}}x+\ldots

up to n-terms, where

a>1

. If

S_{24}(x)=1093

and

S_{12}(2x)=265

, then value of a is equal to ________.

Official answer

NTA final key.