Solve the Exponential Equation Algebraically $1000 e ^ { - 4 x } = 75$

Multiple Choice

Solve the exponential equation algebraically.Approximate the result to three decimal places. $1000 e ^ { - 4 x } = 75$

A) $- \frac { 1 } { 4 } \ln \frac { 3 } { 40 } \approx 2.648$
B) $- \frac { 1 } { 4 } \ln \frac { 3 } { 40 } \approx - 1.352$
C) $- \frac { 1 } { 4 } \ln \frac { 3 } { 40 } \approx 1.648$
D) $- \frac { 1 } { 4 } \ln \frac { 3 } { 40 } \approx 0.648$
E) $- \frac { 1 } { 4 } \ln \frac { 3 } { 40 } \approx - 0.352$