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Question

The set of real values of x satisfying
log1/2(x26x+12)2 is

A
(,2]
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B
[2,4]
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C
[4,)
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D
none of these
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Solution

The correct option is B [2,4]
As x26x+12>0 for all x.
Therefore, log1/2(x26x+12) is defined for all xR
Now,
log1/2(x26x+12)2
x26x+12(12)2
x26x+80(x2)(x4)0x[2,4]

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