Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 80

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
- $$\log _ { 3 } \frac { \sqrt { x } } { 9 }$$

• A) \(- 2 \log _ { 3 } x\)
• B) \(\log _ { 3 } x - 2\)
• C) \(6 - \frac { 1 } { 2 } \log _ { 3 } x\)
• D) \(\frac { 1 } { 2 } \log _ { 3 } x - 2\)

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Definitions:

Insomnia Disorder

The most common sleep disorder in older adults, with nocturnal symptoms of difficulty falling asleep, frequent awakenings, shortened sleep, and non-restorative sleep, and daytime symptoms of fatigue, sleepiness, depression, and anxiety. DSM-IV diagnostic criteria require the symptoms to persist for at least one month, to be perceived as stressful, and to not be secondary to any other disorder.

Hypersomnolence

A condition characterized by excessive daytime sleepiness or prolonged nighttime sleep, not explained by other medical or psychiatric conditions.

Somnambulism

Also known as sleepwalking, a disorder that involves getting up and performing activities while in a state of sleep.

Drug Therapy

The use of prescribed pharmaceuticals to treat or manage mental health conditions or diseases.