5.3 Equations Involving Indices (Example 3)

Example 3 (Index Equation - Equal Base)
Solve each of the following.
(a) $27({81}^{3x})=1$
(b) $\sqrt{{81}^{n+2}}=\frac{1}{3^n{27}^{n-1}}$
(c) $8^{x-1}=\frac{4}{\sqrt{2^{x+3}}}$