If sum of the first 21 terms of the... | Sequences & Series | JEE Main

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JEE MAIN 2021

20-07-2021 S2

Question

If sum of the first 21 terms of the series $\log _{9^{1 / 2}} \mathrm{X}+\log _{9^{1 / 3}} \mathrm{X}+\log _{9^{1 / 4}} \mathrm{X} \ldots$. where $\mathrm{x}>0$ is 504 , then x is equal to

Select the correct option:

A

243

B

9

C

7

D

81

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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