Answer
$x=\frac{2}{3}$
Work Step by Step
We are given the equation $8^{x}=4$. First, we must write both sides using the same base.
$((2)^{3})^{x}=2^{3x}=2^{2}$
Next, we must take the natural log of both sides.
$ln(2^{3x})=ln(2^{2})$
$3xln(2)=2ln(2)$
Divide both sides by $ln(2)$.
$3x=2$
Divide both sides by 3.
$x=\frac{2}{3}$
