Solve the Exponential Equation Algebraically $6 ^ { - 5 x } = 0.50$

Solve the exponential equation algebraically.Approximate the result to three decimal places.​ $6 ^ { - 5 x } = 0.50$ ​

A) $- \frac { \ln ( 0.50 ) } { 5 \ln 6 } \approx 0.072$
B) $\frac { \ln ( 0.50 ) } { 5 \ln 6 } \approx 0.517$
C) $- \frac { \ln ( 0.50 ) } { 5 \ln 6 } \approx 0.387$
D) $- \frac { \ln ( 0.50 ) } { 5 \ln 6 } \approx 0.077$
E) $- \frac { \ln ( 0.50 ) } { 5 \ln 6 } \approx - 0.077$

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