Use the Properties of Logarithms to Expand the Expression $\log _ { 4 } \left[ x ^ { 5 } ( x + 6 ) ^ { 2 } \right]$

question 148

Multiple Choice

Use the properties of logarithms to expand the expression $\log _ { 4 } \left[ x ^ { 5 } ( x + 6 ) ^ { 2 } \right]$ . (Assume $x > 0$ ) .

• A) \(5 \log _ { 4 } x + 2 \log _ { 4 } ( x + 6 )\)
• B) \(5 \log _ { 4 } x \times 2 \log _ { 4 } ( x + 6 )\)
• C) \(\frac { \log _ { 4 } x ^ { 5 } } { \log _ { 4 } ( x + 6 ) ^ { 2 } }\)
• D) \(5 \log _ { 4 } x + \log _ { 4 } ( x + 6 )\)
• E) \(\left( 5 \log _ { 4 } x \right) \times \left( 2 \log _ { 4 } x \right) + 2 \log _ { 4 } 6 x\)

Recognize the significance of self-assembly processes in the evolutionary history of cellular membranes.

Appreciate the contribution of external factors, like meteorites, in providing organic compounds to early Earth.

Understand the attributes of molecules (e.g., RNA, fatty acids) that contributed to the formation and evolution of life.

Understand the basic principles of Kantian ethics and the categorical imperative.

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Definitions:

Autonomic

Relating to the part of the nervous system that controls involuntary actions of the muscles and internal organs.

Abstract Thought

The ability of the human mind to consider concepts, ideas, and scenarios that are not immediately physically present or tangible.

Cerebrum

The largest part of the brain, responsible for voluntary activities, intelligence, learning, and memory.

Medulla Oblongata

The lowest part of the brainstem, controlling vital functions such as heart rate, breathing, and blood pressure.