Question: If $x = \log_{3}5,y = \log_{17}25,$ which one of the following is Correct....

Question

If $x = \log_{3}5,y = \log_{17}25,$ which one of the following is

Correct.

Answer 1

$y = \log_{17}25 = 2\log_{17}5$

∴ $\frac{1}{y} = \frac{1}{2}\log_{5}17$

$\frac{1}{x} = \log_{5}3 = \frac{1}{2}\log_{5}9$

Clearly $\frac{1}{y} > \frac{1}{x}$ , ∴ $x > y$

Question: If \(x = \log_{3}5,y = \log_{17}25,\) which one of the following is Correct....