Answer
False.
To make it true, replace $(-\infty,\infty)$
with $(0,\infty)$
Work Step by Step
The domain of a logarithmic function of the form $f(x)=\log_{b}x$
is the set of all POSITIVE real numbers.
So, the statement is false.
To make it true, replace $(-\infty,\infty)$
with $(0,\infty)$
