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

To solve the inequality \( \log_3(x^2 - 2) < \log_3\left(\frac{3}{2}|x| - 1\right) \), we will follow these steps:

### Step 1: Determine the conditions for the logarithms to be defined

For the logarithm \( \log_3(x^2 - 2) \) to be defined, we need:
\[ x^2 - 2 > 0 \implies x^2 > 2 \implies |x| > \sqrt{2} \]
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