4.3.2 Example 2 (Index Equation – Equal Base)

Example 2
Solve each of the following.
(a)

27 (81^{3 x}) = 1

$27 (81^{3 x}) = 1$
(b)

\sqrt{81^{n + 2}} = \frac{1}{3^{n} 27^{n - 1}}

$\sqrt{81^{n + 2}} = \frac{1}{3^{n} 27^{n - 1}}$
(c)

8^{x - 1} = \frac{4}{\sqrt{2^{x + 3}}}

$8^{x - 1} = \frac{4}{\sqrt{2^{x + 3}}}$