CAT 2017 [slot 2] Question with solution 22

Question 56:
if x ls a real number such that $\log_{3}5= \log_{5}(2 + x)$, then which of the following ls true?
  1. 0 < x < 3
  2. 23 < x < 30
  3. x > 30
  4. 3 < x < 23
Option: 4
Explanation:

$1 < \log_{3}5 < 2$
=> $ 1 < \log_{5}(2 + x) < 2 $
=> $ 5 < 2 + x < 25$
=> $ 3 < x < 23$

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