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

question 24

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