AHSME 1961 Problem 19

Consider the graphs of $y=2\log{x}$ and $y=\log{2x}$. We may say that: $\textbf{(A)}\ \text{They do not intersect} \\ \textbf{(B)}\ \text{They intersect at 1 point only} \\ \textbf{(C)}\ \text{They intersect at 2 points only} \\ \textbf{(D)}\ \text{They intersect at a finite number of points but greater than 2} \\ \textbf{(E)}\ \text{They coincide}$