Question

please someone solve this question of logarithm

Answer 1

Heya

$\frac{1}{ 2\sqrt{27} } ( \frac{2}{ log_{5}(9) } - \frac{ log_{5}(13) }{ log_{5}(9) } )$

$= \frac{1}{2 \sqrt{27} } (2 log_{9}(5) - log_{9}(13) )$

$= \frac{1}{4 \sqrt{27} } log_{3}( \frac{25}{13} )$