Chapter 5.2, Problem 35E

In Problems 35 and 36, evaluate each logarithm using properties of logarithms and the following facts.

$\begin{array}{l}{\text{log}}_{a}x\text{ = 3}{\text{.1 log}}_{a}y\text{ = 1}{\text{.8 log}}_{a}z\text{ = 2}\text{.7}\hfill \\ \hfill \end{array}$

(a) ${\log }_a\left(xy\right)$

(b) ${\log }_a\left(\frac{x}{z}\right)$

(c) ${\log }_a\left(x^4\right)$

(d) ${\log }_a\sqrt{y}$