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) $\frac{4(3-a)}{(3+a)}$
6 If $log(0.57)$ $=\overline{1}$$.756$, then the value of log 57 + log $(0.57)^{3}$ + log $\sqrt{0.57}$ is : A) $\overline{2}$$.146$ B) 0.902 C) $\overline{1}$$.146$ D) 1.902
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
9 If $log_{10000}x$ $=-\frac{1}{4}$, then $x$ is equal to : A) $\frac{1}{10000}$ B) $\frac{1}{1000}$ C) $\frac{1}{10}$ D) $\frac{1}{100}$
10 $\frac{1}{\log_{xy}{xyz}}+\frac{1}{\log_{yz}{xyz}}+\frac{1}{\log_{zx}{xyz}}$ is A) 1 B) 2 C) log 2 D) $\frac{1}{2}$
13 Evaluate the scientific notation of $4.987\times 10^4$ . A) 4987 B) 49870 C) $4987\times 10^4$ D) 4.9870