The number of roots of following equation is:. sin(πx) = | log |x| |

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Please find below the solution to the asked query:

We need to draw graph of sinπx and logx to find number of solutions.Period of sinx is 2π, hencePeriod of sinπx is 2ππ=2To draw graph of logx, follow these steps.1. Draw graph of logx2. To get logx, take mirror image of graph on right hand side of y-axisabout y -axis.3. To get , logx remove take mirror image of graph below x-axis aboutx-axis, and then remove graph below x-axis.

As two graphs intersect at 20 points, hence there are 20 solutions.

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