Answer
$x\approx-3.96$
Work Step by Step
Use the definition of the log function to solve for $x$. Rewrite the problem so that the base has the exponent of the opposite side and is equal to the log's number and/or variable.
$\log_3(x+4)=-3$
$3^{-3}=x+4$
$3^{-3}-4=x$
$\frac{1}{27}-\frac{108}{27}=x$
$x\approx-3.96$
