Use the Product, Quotient, and Power Rules of Logarithms to Rewrite

question 266

Multiple Choice

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
- $7 \log _ { m } q - 8 \log _ { m } z ^ { 2 }$

• A) \(\log _ { m } \frac { 7 q } { 8 z ^ { 2 } }\)
• B) \(\log _ { m } \frac { q ^ { 7 } } { 2 z ^ { 8 } }\)
• C) \(\log _ { m } \frac { \mathrm { q } ^ { 7 } } { \mathrm { z } ^ { 16 } }\)
• D) \(\log _ { m } \frac { q ^ { 7 } } { z ^ { 10 } }\)

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Definitions:

Night Terrors

intense episodes of fear that occur during deep sleep, often causing a person, usually a child, to wake up screaming, sweating, and confused.

Night-Time Waking

The act of waking up during the night after having fallen asleep, often referring to a sleep disturbance.

Sleepwalking

A sleep disorder involving episodes of walking or performing other complex behaviors while not fully awake, typically occurring during deep sleep.

Newborns

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