Use the Laws of Logarithms to Rewrite the Expression $\log _ { 3 } \left( \frac { 1 ^ { 5 x - 1 } } { x ( x - 1 ) ( \sqrt [ 3 ] { x - 1 } ) } \right)$

question 80

Essay

Use the Laws of Logarithms to rewrite the expression $\log _ { 3 } \left( \frac { 1 ^ { 5 x - 1 } } { x ( x - 1 ) ( \sqrt [ 3 ] { x - 1 } ) } \right)$ in a form with no logarithm of a product, quotient, root, or powers.

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Definitions:

Brain

The organ located in the head of animals, including humans, that is the center of the nervous system, controlling functions such as perception, thinking, memory, and decision making.

Major Postural Muscles

Muscles that help maintain posture and stability by resisting the force of gravity and supporting the body in both static and dynamic positions.

Stage 3

A phase, level, or step in a process, system, or progression, often used in contexts where stages are sequentially ordered, such as sleep cycles or stages of disease.

REM Sleep

A phase of sleep characterized by rapid eye movements, during which most vivid dreaming occurs; it plays a crucial role in emotional regulation and memory consolidation.