Question:
If x is a real number such that log3 5 = log5 (2 + x), then which of the following is true?
If x is a real number such that log3 5 = log5 (2 + x), then which of the following is true?
Updated On: Sep 26, 2024
- 0 < x < 3
- 23 < x < 30
- x > 30
- 3 < x < 23
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The Correct Option is D
Solution and Explanation
The correct answer is (D):
log35 = log5 (x + 2)
log33 < log3 5 < log39
1 < log35 < 2
So, 1 < log5 (x + 2) < 2
5 1 < x + 2 < 52
3 < x < 23
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