Solve the Logarithmic Equation Below Algebraically $$\ln \left( x ^ { 2 } + 3 \right) = 4$$

Multiple Choice

Solve the logarithmic equation below algebraically. Round your result to three decimal places.
$$\ln \left( x ^ { 2 } + 3 \right) = 4$$

A) $\pm 9.301$
B) $\pm 6.772$
C) $\pm 9.442$
D) $\pm 4.318$
E) $\pm 7.183$