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JEE Math Practice Question

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

  1. A.e2
  2. B.71/2
  3. C.72
  4. D.746/21

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