Answer
$x=\dfrac{3}{4}$
Work Step by Step
$16^{x}=8$
Rewrite this equation as $(2^{4})^{x}=2^{3}$:
$(2^{4})^{x}=2^{3}$
Rewrite the left side of the equation as $2^{4x}$:
$2^{4x}=2^{3}$
If $2^{4x}=2^{3}$, then $4x=3$
$4x=3$
Solve for $x$ by taking the $4$ to divide the right side:
$x=\dfrac{3}{4}$