$\log ab - \log |b| = $
$\log a$
$\log |a|$
$ - \log a$
None of these
If ${\log _{0.3}}(x - 1) < {\log _{0.09}}(x - 1),$ then $x$ lies in the interval
The sum of all the natural numbers for which $log_{(4-x)}(x^2 -14x + 45)$ is defined is -
Let $n$ be the smallest positive integer such that $1+\frac{1}{2}+\frac{1}{3}+\ldots+\frac{1}{n} \geq 4$. Which one of the following statements is true?
If $x = {\log _b}a,\,\,y = {\log _c}b,\,\,\,z = {\log _a}c$, then $xyz$ is
The value of $\sqrt {(\log _{0.5}^24)} $ is