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Question

The number of real values of x, that satisfy the equation xlogx2x=4 is

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is A 0
xlogx2x=4
2x>0, x>0 and x1
x(0,){1} ...(1)

Now, xlogx(2x)2=4
(2x)2=4 (alogab=b)
x=±1
From eqn (1), neither 1 nor 1 satisfies the equation.

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