Find the number of solutions of the equation $$|\ln|x|\;|=\sin(\pi x)$$
I know how to draw roughly the graph of $|\ln|x|\;|$. However, at $x=1$, both the graphs will pass through $(1,0)$. How do I know whether they will intersect before that point? After $x=1$, graph of $\sin(\pi x)$ will go in the fourth quadrant, while that of $|\ln|x|\;|$ will continue towards infinity. So, I don't think they will intersect later, though I am not sure. How to be sure in such cases where the solutions are to be found using graphs?