Question Details

If x is a real number such that log3 5 = log5 (2 + x), then which of the following is true?

Options

A

0 < x < 3

B

23 < x < 30

C

x > 30

D

3 < x < 23

Show Answer

Correct Answer :

Option D

3 < x < 23

Solution :

Correct Option: D

log35 = log5 (x + 2)

log33 < log3 5 < log39

1 < log35 < 2

So, 1 < log5 (x + 2) < 2

51 < x + 2 < 52

3 < x < 23

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