Solve the Equation $$\left( \frac { 256 } { 81 } \right) ^ { x + 1 } = \left( \frac { 3 } { 4 } \right) ^ { x - 1 }$$

Multiple Choice

Solve the equation.
- $$\left( \frac { 256 } { 81 } \right) ^ { x + 1 } = \left( \frac { 3 } { 4 } \right) ^ { x - 1 }$$

A) $\left\{ - \frac { 3 } { 10 } \right\}$
B) $\left\{ - \frac { 3 } { 5 } \right\}$
C) $\left\{ - \frac { 6 } { 5 } \right\}$
D) $\left\{ \frac { 3 } { 5 } \right\}$