5.4 Equations Involving Logarithms (Example 2 & 3)

Example 2
Solve the following equation:
(a) ${\log }_{\sqrt{y}}81-3={\log }_{\sqrt{y}}3$
(b) $2{\log }_{2}x-{\log }_2(\frac{x}{2}-1)-4=0$

Example 3
Sole the following equation:
(a) ${\log }_3[{\log }_2(2x-1)]=2$
(b) ${\log }_{16}[{\log }_2(5x-4)]={\log }_9\sqrt{3}$