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Question

The number of solutions of the equation 
|ln|x||||x|1|=0 is 


Solution

For 
x>1x1>lnx
Therefore, the graph   y=x1 does not intersect y=lnx when x>1
Similarly, for 
x<1x1>ln(x)
The graph   y=x1 does not intersect y=ln(x) when x<1


Only 2 solutions i.e. (1,0) & (1,0)

Mathematics

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