IPMAT Indore 2022 (SA) PYQs

If $y=a+b \log _{e} x$ then which of the following is true?

The inequality $\log_{2} \frac{3x - 1}{2 - x} < 1$ holds true for

If $\log_3(x^2 - 1)$, $\log_3(2x^2 + 1)$ and $\log_3(6x^2 + 3)$ are the first three terms of an arithmetic progression, then the sum of the next three terms of the progression is