Question

The value of $2^{{\log }_{3}5}-5^{{\log }_{3}2}$ is

Answer 1

$2^{{\log }_{3}5}-5^{{\log }_{3}2}=5^{{\log }_{3}2}-5^{{\log }_{3}2}=0$
Since we know, $a^{{\log }_{b}c}=c^{{\log }_{b}a}$