Question

Find the value of $x$ if $2^4\times 2^5={\left(2^3\right)}^x.$

Answer 1

$2^4\times 2^5={\left(2^3\right)}^x$
$\Rightarrow 2^{4+5}={\left(2^3\right)}^x$
$\Rightarrow 2^9=2^{3x}$
Comparing powers,
$\Rightarrow 3x=9$
$\Rightarrow x=3$