5.2a Laws of Logarithms (Example 1)

Example 1

Express the following in term of ${\log }_{a}x$   and ${\log }_{a}y$  .
(a) ${\log }_{a}3x$
(b) ${\log }_a\frac{x}{5}$
(c) ${\log }_a{y}^5$
(d) ${\log }_{a}x{y}^3$
(e) ${\log }_a\frac{x^2}{\sqrt{y}}$
(f) ${\log }_a\sqrt{\frac{y}{a^2{x}^3}}$

Law of Logarithms