Solve the Exponential Equation by Taking the Logarithm of Both $4 ^ { x + 6 } = 9 ^ { x }$

question 43

Multiple Choice

Solve the exponential equation by taking the logarithm of both sides. $4 ^ { x + 6 } = 9 ^ { x }$

• A) \(\left\{ \frac { 6 } { 1 - \ln 9 } \right\}\)
• B) \(\left\{ \frac { 6 \ln 4 } { \ln 4 - \ln 9 } \right\}\)
• C) \(\left\{ \frac { 6 } { \ln 9 - 1 } \right\}\)
• D) \(\left\{ \frac { 6 \ln 4 } { \ln 9 - \ln 4 } \right\}\)

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Definitions:

Mental Disorder

A broad range of conditions affecting mood, thinking, and behavior, often impacting day-to-day functioning and relationships.

Biological Origin

The concept focusing on the genetic, evolutionary, and physiological bases of behavior and traits in living organisms.

Deviance

Deviance encompasses actions or behaviors that violate societal norms and expectations, often drawing social disapproval or sanction.

Psychiatric Disorder

A mental disorder characterized by significant disturbances in an individual's behavior, thinking, or emotions, often requiring medical diagnosis and treatment.