Answer
$x=\frac{5}{2}$
Work Step by Step
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$.
Therefore, $log_{3}(2x+4)=2$ is equivalent to $3^{2}=9=2x+4$.
For $9=2x+4$, subtract 4 from both sides.
$2x=5$
Divide both sides by 2.
$x=\frac{5}{2}$
