Which of the following is not the solution of `(log)_3(x^2-2)<(log)_3(3/2|x|-1)` is `(sqrt(2),2)` (b) `(-2,-sqrt(2))` `(-sqrt(2),2` (d) none of these

Explanation

Given `log_3(x^2-2)ltlog_3(3/2|x|-1)`

`x^2-2>0`

`|x|>sqrt2`

`x^2-2<3/2|x|-1`

`|x|^2-2<3/2|x|-1`

`2|x|^2-3|x|-2<0`

`2|x|^2-4|x|+|x|-2<0`

`2|x|[|x|-2]+1[|x|-2]>0`

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