The number ${\log _{20}}3$ lies in
$\left( {1/4,\,\,1/3} \right)$
$\left( {1/3,\,\,1/2} \right)$
$\left( {1/2,\,3/4} \right)$
$\left( {3/4,\,\,4/5} \right)$
Which is the correct order for a given number $\alpha $in increasing order
If ${a^2} + 4{b^2} = 12ab,$ then $\log (a + 2b)$ is
The value of $\sqrt {(\log _{0.5}^24)} $ is
${\log _4}18$ is
If ${\log _{1/\sqrt 2 }}\sin x > 0,x \in [0,\,\,4\pi ],$ then the number of values of $x$ which are integral multiples of ${\pi \over 4},$ is