Answer
$(0, +\infty)$
Work Step by Step
RECALL:
$y=\log_b{x} \longrightarrow b^y=x, b \gt0, b\ne1$
Note that the value of $b^y$ will never be zero nor be negative.
This means that the logarithmic function is defined or $x \gt 0$.
Thus, the domain of the logarithmic function $f(x)=\log_b{x}$ is: $(0, +\infty)$
