JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

If sum of the first 21 terms of the series

{\log _{{9^{1/2}}}}x + {\log _{{9^{1/3}}}}x + {\log _{{9^{1/4}}}}x + .....,

where

x > 0

is 504, then

x

is equal to

View answer and explanation

Correct option: D

Option D (81) is correct because after simplifying the logarithmic series and using the given sum, we find x = 81.

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\frac{3}{4}