The number ${\log _2}7$ is
An integer
A rational number
An irrational number
A prime number
Which is the correct order for a given number $\alpha $in increasing order
For $y = {\log _a}x$ to be defined $'a'$ must be
If ${\log _{0.3}}(x - 1) < {\log _{0.09}}(x - 1)$ then $x \ne 1$ lies in
$\log ab - \log |b| = $
The product of all positive real values of $x$ satisfying the equation $x^{\left(16\left(\log _5 x\right)^3-68 \log _5 x\right)}=5^{-16}$is. . . . .