Find All Real Numbers X That Satisfy the Given Equation $\left( \frac { 1 } { 81 } \right) ^ { x - 1 } = 3 ^ { 4 - 3 x ^ { 2 } }$

Multiple Choice

Find all real numbers x that satisfy the given equation. $\left( \frac { 1 } { 81 } \right) ^ { x - 1 } = 3 ^ { 4 - 3 x ^ { 2 } }$

A) 0, $- \frac { 4 } { 3 }$
B) 0, $\frac { 4 } { 3 }$
C) $- \frac { 4 } { 3 }$
D) 0