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

Multiple Choice

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) $- \frac { \ln ( 0.50 ) } { 5 \ln 6 } \approx - 0.077$