The set of real values of $x$ for which ${\log _{0.2}}{{x + 2} \over x} \le 1$ is
$\left( { - \infty ,\,\, - {5 \over 2}} \right] \cup (0, + \infty )$
$\left[ {{5 \over 2}, + \,\infty } \right)$
$( - \infty ,\, - 2) \cup (0, + \,\infty )$
None of these
If ${a^2} + 4{b^2} = 12ab,$ then $\log (a + 2b)$ is
The number ${\log _{20}}3$ lies in
$\sum\limits_{n = 1}^n {{1 \over {{{\log }_{{2^n}}}(a)}}} = $
Logarithm of $32\root 5 \of 4 $ to the base $2\sqrt 2 $ is
If ${a^x} = b,{b^y} = c,{c^z} = a,$ then value of $xyz$ is