Question

Find the value of $2^{lo{g}_{3}5}-5^{lo{g}_{3}2}$

Answer 1

$2^{{\log }_{3}5}-5^{{\log }_{3}2}=2^{\frac{\log 5}{\log 3}}-5^{{\log }_{3}2}=5^{{\log }_{3}2}-5^{{\log }_{3}2}=0$