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Multiple Choice Questions
1. If x is a real number such that $$\log_{3}5= \log_{5}(2 + x)$$, then which of the following is true?
(A): 0 < x < 3
(B): 23 < x < 30
(C): x > 30
(D): 3 < x < 23
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By: anil on 05 May 2019 03.04 pm
$$1 < log_{3}5 < 2$$
=> $$ 1 < log_{5}(2 + x) < 2 $$
=> $$ 5 < 2 + x < 25$$
=> $$ 3 < x < 23$$
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=> $$ 1 < log_{5}(2 + x) < 2 $$
=> $$ 5 < 2 + x < 25$$
=> $$ 3 < x < 23$$