Answer
Domain: $(0, +\infty)$
Range: $(-\infty, +\infty)$
Work Step by Step
Recall:
The function $y=\log_a{b}$ has $b\gt0$ so its domain of $(0, +\infty)$ has a range of $(-\infty, +\infty)$.
The given function has $b=x$ so its domain is $(0, +\infty)$.
Its range is $(-\infty, +\infty)$.