What would the graph of $y=\sin(\log x)$ look like?

Question

What would the graph of $y=\sin(\log x)$ look like?

So far I have dawn the conclusions :

1. At $x=1$ $y=0$

2. The graph never touches $x=0$ ($y$ axis)

3. The maximum is attained at $x = \exp(\pi/2)$