Solve the Exponential Equation by Taking the Logarithm of Both $11 - 4 ^ { x ^ { 2 } } = 3$

Multiple Choice

Solve the exponential equation by taking the logarithm of both sides. $11 - 4 ^ { x ^ { 2 } } = 3$

A) $\left\{ \frac { \sqrt { \ln x } } { 4 } \right\}$
B) $\left\{ - \frac { \sqrt { 6 } } { 2 } , \frac { \sqrt { 6 } } { 2 } \right\}$
C) $\{ - \sqrt { \ln x } , \sqrt { \ln x } \}$
D) $\{ \sqrt { 2 } , - \sqrt { 2 } \}$