${\log _4}18$ is
A rational number
An irrational number
A prime number
None of these
If $x = {\log _a}(bc),y = {\log _b}(ca),z = {\log _c}(ab),$then which of the following is equal to $1$
Solution set of inequality ${\log _{10}}({x^2} - 2x - 2) \le 0$ is
${\log _7}{\log _7}\sqrt {7(\sqrt {7\sqrt 7 } )} = $
If ${\log _{\tan {{30}^ \circ }}}\left( {\frac{{2{{\left| z \right|}^2} + 2\left| z \right| - 3}}{{\left| z \right| + 1}}} \right)\, < \, - 2$ then
$7\log \left( {{{16} \over {15}}} \right) + 5\log \left( {{{25} \over {24}}} \right) + 3\log \left( {{{81} \over {80}}} \right)$ is equal to