4.2.2(c) Example 3 (Change of Base of Logarithms)

Example 3
Given that ${\log }_{3}x=b$  , express ${\log }_{x}9x$ in term of b.

Example 4
Given that ${\log }_{2}3=1.585$   and ${\log }_{2}5=2.322$  , evaluate the following.
(a) ${\log }_{8}15$
(b) ${\log }_{5}0.6$
(c) ${\log }_{15}30$
(d) ${\log }_{16}45$

Solution: