IPMAT Indore 2023 (SA) PYQs

If $\log_4 x = a$ and $\log_{25} x = b$, then $\log_x 10$ is

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

The set of all values of $x$ satisfying the inequality $\log _{\left(x+\frac{1}{x}\right)}\left[\log _{2}\left(\frac{x-1}{x+2}\right)\right]>0$ is