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?

0 < x < 3
23 < x < 30
x > 30
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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