Use Properties of Logarithms to Condense the Logarithmic Expression $3 \log _ { b } q - \log _ { b } r$

question 260

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $3 \log _ { b } q - \log _ { b } r$

• A) \(\log _ { b } \left( \frac { q ^ { 3 } } { r } \right)\)
• B) \(\log _ { b } q ^ { 3 } \div \log _ { b } r\)
• C) \(\log _ { b } \left( q ^ { 3 } - r \right)\)
• D) \(\log _ { \mathrm { b } } \left( \frac { 3 \mathrm { q } } { \mathrm { r } } \right)\)

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Definitions:

Suprachiasmatic Nucleus

A small region of the brain in the hypothalamus responsible for controlling circadian rhythms.

Peribrachial Area

Cholinergic nucleus in the dorsal brainstem having a role in R-sleep behaviors; projects to medial pontine reticular formation.

Microsleep

Brief sleep period lasting a second or so.

Sporadic Napping

The act of taking short, unplanned periods of sleep at irregular intervals.