Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 238

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\ln \sqrt { \frac { x } { y } }$

• A) \(\frac { 1 } { 2 } \ln x - \frac { 1 } { 2 } \ln y\)
• B) \(\ln \sqrt { x } - \ln \sqrt { y }\)
• C) \(\frac { 1 } { 2 } \ln \frac { x } { y }\)
• D) \(\frac { 1 } { 2 } \ln x - \ln y\)

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Definitions:

Illicit Drug

A substance whose production, sale, or use is prohibited by law.

Marijuana

Marijuana, also known as cannabis, is a psychoactive drug from the Cannabis plant used for medical or recreational purposes.

Amphetamines

A class of stimulant drugs that affect the central nervous system, commonly used to treat ADHD and narcolepsy, but also prone to abuse.

Toxic Psychosis

Hallucinations, delirium, and paranoia caused by repeated high doses of amphetamines.