If the sum of the first 20 terms of the series 1/2 1/3 1/4 (7 ) (7 ) (7 ) log log log … xxx +++ is 460, then x is equal to :

Question:

If the sum of the first 20 terms of the series $\log _{\left(7^{1 / 2}\right)} x+\log _{\left(7^{1 / 3}\right)} x+\log _{\left(7^{1 / 4}\right)} x+\ldots$ is 460 , then $x$ is equal to :

  1. $7^{2}$

  2. $7^{1 / 2}$

  3. $e^{2}$

  4. $7^{46 / 21}$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sequences and Series chapter.
JEE Main Previous Year Sep. 05, 2020 (II)

Solution:

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