AHSME 1950 Problem 44

The graph of $y=\log x$ $\textbf{(A)}\ \text{Cuts the }y\text{-axis} \\ \textbf{(B)}\ \text{Cuts all lines perpendicular to the }x\text{-axis} \\ \textbf{(C)}\ \text{Cuts the }x\text{-axis} \\ \textbf{(D)}\ \text{Cuts neither axis} \\ \textbf{(E)}\ \text{Cuts all circles whose center is at the origin}$