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

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

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

Suppose that $\log_2[\log_3 (\log_4a)] = \log_3 [\log_4 (\log_2b)] = \log_4 [\log_2 (\log_3c)] = 0$ then the value of $a + b + c$ is

The approximate value of the expression $2\log_3 3n - \log_3(n^2 + 1)$ for a sufficiently large $n$ is

If $4^{\log_2{x}} - 4x + 9^{\log_3{y}} - 16y + 68 = 0$, then $y - x$ equals:

If $\log_{25} [5 \log_3 (1+\log_3(1+2\log_2x))] = \frac12$ then $x$ is: