Question 49

Mathematics Logarithms Medium

If \(x=\log _{3} 5, y=\log _{17} 25\), then which one of the following is correct?

(A) \(x>y\)
(B) \(x < y\)
(C) \(x \leq y\)
(D) \(x=y\)
View Dynamic Solution & Explanation
Correct Solution: Option A

Step-by-step Solution:

\(\log _{3} 5=\log _{3^{2}} 5^{2}=\log _{9} 25\) Clearly \(\log _{9} 25>\log _{17} 25\) \[\] Hence \(x>y\) \[\] Choice (A)\[\]