Question

The graph of $y=\log x$

Cuts the $y$ -axis

Cuts all lines perpendicular to the $x$ -axis

Cuts the $x$ -axis

Cuts neither axis

Cuts all circles whose center is at the origin

Find where $\log x=0$

The logarithm is defined only for $x>0$

Since $\log1=0,$ the graph passes through $(1,0)$ and therefore cuts the $x$ -axis. It cannot cut the $y$ -axis because $x=0$ is outside its domain.

Thus, the correct answer is C.