Question

If $5^6\times 5^{2x}=5^{10}$, then find x.

Answer 1

$5^6\times 5^{2x}=5^{10}\Rightarrow 5^{6+2x}=5^{10}(\because a^m\times a^n=a^{m+n})\Rightarrow 6+2x=10(\because a^m=a^n\Rightarrow m=n\Rightarrow 2x=4\Rightarrow x=2$