Question

State true or false:

If $4^{2x}=\frac{1}{32}$, then the value of x is $-\frac{5}{4}$

• A. True
• B. False

Answer 1

The correct option is A True

$\Rightarrow 4^{2x}=\frac{1}{2^5}$
$\Rightarrow {\left(2^2\right)}^{2x}=2^{-5}$
$\Rightarrow 2^{4x}=2^{-5}$
$\Rightarrow 4x=-5\Rightarrow x=-\frac{5}{4}$