Express as a Single Logarithm $$\left( \log _ { a } x - \log _ { a } y \right) + 5 \log _ { a } z$$

question 6

Multiple Choice

Express as a single logarithm.
- $$\left( \log _ { a } x - \log _ { a } y \right) + 5 \log _ { a } z$$

• A) \(\log _ { a } \frac { x } { z ^ { 5 } y }\)
• B) \(\log _ { \mathrm { a } } \frac { 5 \mathrm { xz } } { \mathrm { y } }\)
• C) \(\log _ { a } \frac { x z ^ { 5 } } { y }\)
• D) \(\log _ { \mathrm { a } } \mathrm { xz } ^ { 5 } \mathrm { y }\)

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Definitions:

Amnesia

A condition characterized by memory loss, which can be partial or complete, temporary or permanent.

Compulsion

A psychological condition or mechanism where an individual feels the urgent need to perform certain behaviors or rituals repeatedly.

Obsession

Persistent, intrusive, and unwanted thoughts that cause significant anxiety or distress.

Ritualistic Behavior

Repetitive actions performed in a prescribed manner, often part of religious, cultural, or social practices, imbued with symbolic meaning.