IPMAT Indore (MCQ) PYQs

If $\log_5(\log_8(x^2 - 1)) = 0$, then a possible value of $x$ is

The value of $(0.04^{log_{\sqrt{5}}(\frac{1}{4} + \frac{1}{8} + \frac{1}{16} + ...)})$ is __________.

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