Solve the Logarithmic Equation Below Algebraically $$\ln \left( x ^ { 2 } + 6 \right) = 5$$

Multiple Choice

Solve the logarithmic equation below algebraically. Round your result to three decimal places.
$$\ln \left( x ^ { 2 } + 6 \right) = 5$$

A) $\pm 11.604$
B) $\pm 14.688$
C) $\pm 15.639$
D) $\pm 12.762$
E) $\pm 11.934$