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The total number of solutions sinpix=|log|x|| Thanks

The total number of solutions sinpix=|log|x||

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1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans: 4
It can be easily done by ploting the graph of two & find the intesection.
f(x) = sin(\pi x)
Draw the graph of sin(x) & divide all values on x-axis by pi.
f(x) = |log|x||
Draw the graph of log(x).
Symmetrically draw the graph on negative side of x-axis.
Take the mirror image of portion of graph b/w 0 & 1.
Solutions:
One solution will be b/w -1 & 0.
Other solution will be b/w 0 & 1.
Final two solutions are
x = -1, 1
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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