Question
Quantitative Aptitude Question on Logarithms
If x is a real number such that log3 5 = log5 (2 + x), then which of the following is true?
A
0 < x < 3
B
23 < x < 30
C
x > 30
D
3 < x < 23
Answer
3 < x < 23
Explanation
Solution
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