Which of the following is not the solution of `(log)_3(x^2-2)

1.	Which of the following is not the solution of `(log)_3(x^2-2)
Answer» Correct Answer - C We have, ` log_(3) (x^(2) - 2) lt log_(3) (3/2\|x\|-1)` For this to be true, we must have `x^(2) - 2 gt 0, 3/2 \|x\| - 1 gt 0` ` and x^(2) - 2 lt 3/2 \|x\|-1` ` rArr x ^(2) gt 2, \|x\|gt 2/3 and 2\|x\|^(2) - 3 \|x\|-2 lt 0` ` rArr \|x\| gt sqrt2, \|x\| gt 2/3 and (2\|x\|+ 1)(\|x\|-2) lt 0` ` rArr \|x\| gt sqrt2 and \|x\| lt 2` ` rArr sqrt2 lt \|x\| lt 2` ` rArr x in (-2, - sqrt2) cup(sqrt2, 2)`

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