Express as a Single Logarithm $$\ln \frac { x ^ { 2 } + 4 x - 32 } { x - 3 } - \ln \frac { x ^ { 2 } + 5 x - 24 } { x + 3 } + \ln \left( x ^ { 2 } - 8 x + 16 \right) , \quad x > 0$$

question 401

Multiple Choice

Express as a single logarithm.
- $$\ln \frac { x ^ { 2 } + 4 x - 32 } { x - 3 } - \ln \frac { x ^ { 2 } + 5 x - 24 } { x + 3 } + \ln \left( x ^ { 2 } - 8 x + 16 \right) , \quad x > 0$$

• A) \(\ln \frac { 3 ( x - 4 ) } { 2 ( x - 3 ) ( x + 3 ) }\)
• B) \(\ln \frac { ( x - 4 ) ^ { 3 } } { ( x - 3 ) ^ { 2 } ( x + 3 ) }\)
• C) \(\ln \frac { ( x - 4 ) ^ { 3 } ( x + 3 ) } { ( x - 3 ) ^ { 2 } }\)
• D) \(\ln \frac { 3 ( x - 4 ) ( x + 3 ) } { 2 ( x - 3 ) }\)

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Definitions:

Drug Tolerance

A condition in which the user becomes progressively less affected by the drug and must take increasingly larger doses to maintain the same effect or high.

Drug Tolerance

A physiological state where the effectiveness of a drug decreases as a result of prolonged exposure, requiring larger doses to achieve the initial effect.

Drug Detoxification

The medical or psychological treatment for removing toxic substances, including drugs and alcohol, from the body, often the first step towards recovery from addiction.

Methylene-dioxy-methamphetamine

Methylene-dioxy-methamphetamine, commonly known as MDMA or 'ecstasy,' is a synthetic drug that alters mood and perception, noted for its stimulant and psychedelic effects.