Express as the Logarithm of a Single Expression $\left( \log _ { a } x - \log _ { a } y \right) + 3 \log _ { a } z$

question 182

Multiple Choice

Express as the logarithm of a single expression. Assume that variables represent positive numbers.
- $\left( \log _ { a } x - \log _ { a } y \right) + 3 \log _ { a } z$

• A) \(\log _ { a } \frac { x } { z ^ { 3 } y }\)
• B) \(\log _ { a } x z ^ { 3 } y\)
• C) \(\log _ { a } \frac { 3 x z } { y }\)
• D) \(\log _ { a } \frac { x z ^ { 3 } } { y }\)

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Definitions:

Unipolar

Referring to a mental health condition that involves periods of depression without the manic phases seen in bipolar disorder.

Mania

A mental state characterized by periods of great excitement, euphoria, delusions, and overactivity, often observed in bipolar disorder.

Pessimistic Explanatory Style

A tendency to explain negative events as being inevitable, personal, and pervasive.

Depression

A mental health condition marked by continuous experiences of sorrow, despair, and a disinterest or lack of enjoyment in activities.