# Example 1 (Laws of Logarithms)

Example 1

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

Law of Logarithms