${\log _4}18$ is
A rational number
An irrational number
A prime number
None of these
If ${\log _e}\left( {{{a + b} \over 2}} \right) = {1 \over 2}({\log _e}a + {\log _e}b)$, then relation between $a$ and $b$ will be
${\log _7}{\log _7}\sqrt {7(\sqrt {7\sqrt 7 } )} = $
The set of real values of $x$ for which ${\log _{0.2}}{{x + 2} \over x} \le 1$ is
If ${\log _{10}}x = y,$ then ${\log _{1000}}{x^2} $ is equal to
The value of ${\log _2}.{\log _3}....{\log _{100}}{100^{{{99}^{{{98}^{{.^{{.^{{{.2}^1}}}}}}}}}}}$ is