Question

Find the value of '$x$' such that
$25\times 5^x=5^8$

Answer 1

$25\times 5^x=5^8$
$⟹5^2\times 5^x=5^8$ $[\because 25=5\times 5=5^2]$
$⟹5^{2+x}=5^8$ $[\because a^m\times a^n=a^{m+n}]$
$⟹2+x=8$ $[\because a^m=a^n⟹m=n]$
$\therefore$ $x=6$