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

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) $- \frac { 1 } { 4 } \ln \frac { 3 } { 40 } \approx - 0.352$

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