2 if $log_{8}x$ $=\frac{2}{3}$, then the value of $x$ is : A) $\frac{3}{2}$ B) $\frac{2}{3}$ C) 2 D) 4
3 The value of $\left(\frac{1}{3}log_{10}125-2log_{10}4+log_{10}32\right)$ is : A) 1 B) 4 C) $\frac{4}{5}$ D) 2
4 If log 2 $=x$, log 3 $=y$ and log 7 $=z$, then the value of log $(4.\sqrt[3]{69})$ is : A) $2x+\frac{2}{3}y$ $-\frac{1}{3}z$ B) $2x+\frac{2}{3}y$ $+\frac{1}{3}z$ C) $2x-\frac{2}{3}y$ $+\frac{1}{3}z$ D) $-2x+\frac{2}{3}y$ $+\frac{1}{3}z$
5 If $log_{12}27$ $=a$, then $log_{6}16$ is : A) $\frac{3-a}{4(3+a)}$ B) $\frac{3+a}{4(3-a)}$ C) $\frac{3+a}{(3-a)}$ D) $\frac{4(3-a)}{(3+a)}$
7 $\frac{log\sqrt{8}}{log8}$ is equal to : A) $\frac{1}{8}$ B) $\frac{1}{2}$ C) $\frac{1}{\sqrt{8}}$ D) $\frac{1}{4}$
8 $log\left(\frac{a^{2}}{bc}\right)$ $+log\left(\frac{b^{2}}{ac}\right)$ $+log\left(\frac{c^{2}}{ab}\right)$ is equal to A) 0 B) 2 C) 4 D) 1
12 If log m + log n = log(m+n) then m is given by A) $\frac{n+1}{2}$ B) $\frac{n+1}{n}$ C) $\frac{n}{n-1}$ D) None of these