JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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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+\ldots \ldots

, where

x>0

is 504 , then

\mathrm{x}

is equal to:

View answer and explanation

Correct option: A

Option A (81) is correct because solving the logarithmic series and simplifying the equation leads to x = 81.

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