IPMAT Indore (SA) PYQs

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

The inequality $\log_{a}{f(x)} < \log_{a}{g(x)}$ implies that

Let $a = \dfrac{(\log_7 4)(\log_7 5 - \log_7 2)}{\log_{7} 25 (\log_7 8 - \log_7 4)}$. Then the value of $5^a$ is