Answer
$(-6, +\infty)$.
Work Step by Step
RECALL:
The domain of the logarithmic function $f(x) = \log_a{x}$ is $x \gt 0$.
Thus, the domain of the given function is the set of all real numbers such that:
$x+6 \gt 0$.
Solve the inequality to obtain:
$x + 6 \gt 0
\\x \gt 0-6
\\x \gt -6$
Therefore, the domain of the given function is $(-6, +\infty)$.
