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The total number of solutions of (log)e|...

The total number of solutions of `(log)_e|sinx|=-x^2+2x` in `[0,pi]` is equal to 1 (b) 2 (c) 4 (d) none of these

A

1

B

2

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`log_(e)|sin x|=-x(x-2)`
Graphs of `y=log_(e)|sin x|` and `y=-x(x-2)` meet exactly two times in `[0, pi]`.
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