Question

If $4^{4x+1}=\frac{1}{64}$, then the value of $x$ is

• A. $\frac{1}{2}$
• B. $-1$
• C. $\frac{-1}{2}$
• D. $\frac{-1}{6}$

Answer 1

The correct option is B $-1$

$4^{4x+1}=\frac{1}{64}=\frac{1}{4^3}$
$4^{4x+1}=4^{-3}$
On comparing, we get
$4x+1=-3$
$4x=-4\Rightarrow x=-1$.