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Question

Values of x satisfying the inequality x(1log10x).log10x<1 is -

A
x ϵ (0,10)
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B
x ϵ (0,1010)
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C
x ϵ (0,1)(1,10110)
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D
x ϵ (0,110)
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Solution

The correct option is C x ϵ (0,1)(1,10110)
xlogx10.log10x<1
10.log10x<1
log10x<110
x<10110
and x>0,x1
So 0<x<10110 excluding 1.

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