Answer
False.
Work Step by Step
Logarithmic Function$:$
If $a > 0$ and \fbox{$a\neq 1$}, then the logarithmic function of base a is defined by
$f(x)=\log_{a}x$, for $x>0$.
$....................................$
Here, the base of $\log_{a}$ is 1,
so the function on the LHS is NOT DEFINED.
The statement is false.