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Question

The set of real values of x for which 2log2 (x1)>x+5 is

A
(,1)(4,+)
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B
(4,+)
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C
(1,4)
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D
None of these
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Solution

The correct option is B (4,+)
2log2 (x1)>x+52log2 (x1)2>x+5(x1)2>x+5x23x4>0(x4)(x+1)>0x>4orx<1
But for given log to be defined, x - 1 > 0
i.e.,x>1x>4xϵ(4,).

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