Answer
$0$
Work Step by Step
The domain of the variable requires that $2x+3>0$
$\therefore x>-\dfrac{3}{2}$
Recall:
$\text{If } \log_a M = \log_a N \text{, then } M=N$.
Use the rule above to obtain:
$2x+3 =3$
Solve the equation to obtain:
$2x+3=3 \\ 2x=3-3 \\ 2x = 0 \\ x=0$
