Solution of the equation ${9^x} - {2^{x + {1 \over 2}}} = {2^{x + {3 \over 2}}} - {3^{2x - 1}}$
${\log _9}(9/\sqrt 8 )$
${\log _{\left( {9/2} \right)}}(9/\sqrt 8 )$
${\log _e}(9/\sqrt 8 )$
None of these
If ${{{{({2^{n + 1}})}^m}({2^{2n}}){2^n}} \over {{{({2^{m + 1}})}^n}{2^{2m}}}} = 1,$ then $m =$
If $x = {2^{1/3}} - {2^{ - 1/3}},$ then $2{x^3} + 6x = $
The square root of $\sqrt {(50)} + \sqrt {(48)} $ is
If ${2^x} = {4^y} = {8^z}$ and $xyz = 288,$ then ${1 \over {2x}} + {1 \over {4y}} + {1 \over {8z}} = $
Number of Solution of the equation ${(x)^{x\sqrt x }} = {(x\sqrt x )^x}$ are