5.4 Equations Involving Logarithms (Example 4 & 5)

Example 4
Solve the following equation :
(a) ${\log }_9(x-2)={\log }_{3}2$
(b) ${\log }_{4}x=\frac{3}{2}{\log }_{2}3$

Example 5
Solve the following :
(a) ${\log }_{4}x=25{\log }_{x}4$
(b) ${\log }_{2}5\sqrt{x}+{\log }_{4}16x=6$