## College Algebra (10th Edition)

RECALL: The domain of the logarithmic function $f(x) = \log_a{x}, a\gt 0, a\ne 1$ is $x \gt0$. Thus, to find the domain of $f(x) = \log_3{(x+2)}$, the value of $x+2$ must be greater than 0. So $x+2 \gt 0 \\x \gt 0-2 \\x \gt -2$ Therefore, the answer is Option (c).