Question

Find the value of $x$ in the equation $4^x=(2^2{)}^5$.

• A. 5

Answer 1

The correct option is A 5
Given, $4^x=(2^2{)}^5$
$\Rightarrow 4^x=2^{2\times 5}[\because (a^m{)}^n=a^{m\times n}]\Rightarrow 4^x=2^{10}\Rightarrow 2^{2x}=2^{10}\Rightarrow 2x=10\Rightarrow x=5$