Solve the Exponential Equation Algebraically $$e ^ { 2 x } - 4 e ^ { x } - 5 = 0$$

Multiple Choice

Solve the exponential equation algebraically. Approximate the result to three deci- mal places. $$e ^ { 2 x } - 4 e ^ { x } - 5 = 0$$

A) $\ln 5 \approx 3.609$
B) $\ln 5 \approx 0.609$
C) $\ln 5 \approx - 0.391$
D) $\ln 5 \approx 1.609$
E) $\ln 5 \approx 2.609$