Question

Find the value of $x$ such that :
$7^{2x}\times 7^5=7^{15}$

Answer 1

Property: $a^m\times a^n=a^{m+n}$
$7^{2x}\times 7^5=7^{15}$
$⟹7^{2x+5}=7^{15}$
$⟹2x+5=15$
$⟹2x=10$
$⟹x=5$