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

question 220

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

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Definitions:

Preconventional

A stage in Kohlberg's theory of moral development where behavior is motivated by anticipation of pleasure or pain rather than by societal rules or conventions.

Conventional

Pertaining to methods or practices that are widely accepted and used, typically because they have been established over time.

Postconventional

A stage in moral development where individuals make ethical decisions based on universal principles and the greater good, beyond societal norms.

Intimate Partner Violence

Abuse or aggression that occurs in a romantic relationship, encompassing physical, sexual, emotional, economic, or psychological actions or threats.