Question

Compute the following
$7^{{\log }_{3}5}+5^{{\log }_{5}7}-5^{{\log }_{3}7}-7^{{\log }_{5}3}$

Answer 1

$7^{lo{g}_3^5}+5^{lo{g}_5^7}-5^{lo{g}_3^7}-7^{lo{g}_5^3}$

$=5^{lo{g}_3^7}+7^{lo{g}_5^5}-5^{lo{g}_3^7}-7^{lo{g}_5^3}$

$=7-7^{lo{g}_5^3}$.