jmc

We can try a few values to see if the function satisfies the properties. $f(1)=\log 1$ and $f(-1)=\log (-1)$ which is not defined! Since to be even, $f(x)=f(-x)$ for all $x$ in the domain of $f$, $f$ is not even. For the same reason, $f$ is not odd. The answer is $\boxed{\text{neither}}.$