Change of Base of Logarithms – Example 5

Example 5
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: