If ${\log _{12}}27 = a,$ then ${\log _6}16 = $
$2.{{3 - a} \over {3 + a}}$
$3.{{3 - a} \over {3 + a}}$
$4.{{3 - a} \over {3 + a}}$
None of these
If $x = {\log _5}(1000)$ and $y = {\log _7}(2058)$ then
If ${\log _{10}}x = y,$ then ${\log _{1000}}{x^2} $ is equal to
The sum $\sum \limits_{n=1}^{\infty} \frac{2 n^2+3 n+4}{(2 n) !}$ is equal to :
If ${\log _{0.3}}(x - 1) < {\log _{0.09}}(x - 1),$ then $x$ lies in the interval
If ${1 \over {{{\log }_3}\pi }} + {1 \over {{{\log }_4}\pi }} > x,$ then $x$ be