If ${\log _k}x.\,{\log _5}k = {\log _x}5,k \ne 1,k > 0,$ then $x$ is equal to
$k$
${1 \over 5}$
$5$
$(b)$ and $(c)$ both
Solution set of inequality ${\log _{10}}({x^2} - 2x - 2) \le 0$ is
If ${a^x} = b,{b^y} = c,{c^z} = a,$ then value of $xyz$ is
The number of solution pairs $(x, y)$ of the simultaneous equations $\log _{1 / 3}(x+y)+\log _3(x-y)=2$ $2^{y^2}=512^{x+1}$ is
If $x = {\log _5}(1000)$ and $y = {\log _7}(2058)$ then
$\log ab - \log |b| = $