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

question 7

Multiple Choice

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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Definitions:

Severe Autism

A classification of autism spectrum disorder characterized by significant difficulties in social interaction, communication, and by restrictive and repetitive behaviors, requiring substantial support.

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A consequence that reduces the likelihood of a behavior being repeated, often applied to correct undesirable actions.

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The process by which individuals understand themselves within the context of social relationships, including the development of personality, emotional growth, and social skills.

Negative Reinforcer

A reinforcer that, when removed, increases the frequency of a behavior.