Mathematics - Functions Question with Solution | TestHub

We have sinπx=|In|x∣∣ (i)

To find the solutions of Eq.(i), we draw the graphs of $y=\sin \pi x$ and $y=|\ln |x||$ and find their points of intersection.

Graph of $y=\sin \pi x$ is a simple sine curve with period '2.

from the above figure, the number of distinct solution is 6.