Answer
$x=2$
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, $log_{3}(2x+5)=2$ means $3^{2}=9=2x+5$.
To solve for x, subtract 5 from both sides of the equation.
$2x=4$
Divide both sides by 2.
$x=2$