Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 195

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { a } \left( \frac { x ^ { 4 } \sqrt [ 3 ] { x + 5 } } { ( x - 2 ) ^ { 2 } } \right)$

• A) \(4 \log _ { a } x + \frac { 1 } { 3 } \log _ { a } ( x + 5 ) - 2 \log _ { a } ( x - 2 )\)
• B) \(4 \log _ { a } x - 3 \log _ { a } ( x + 5 ) - 2 \log _ { a } ( x - 2 )\)
• C) \(\log _ { a } x ^ { 4 } + \log _ { a } ( x + 5 ) ^ { - 3 } - \log _ { a } ( x - 2 ) ^ { 2 }\)
• D) \(\log _ { a } x ^ { 4 } + \log _ { a } ( x + 5 ) ^ { 1 / 3 } - \log _ { a } ( x - 2 ) ^ { 2 }\)

Understand the principles and philosophical foundations of existential therapy.

Identify key existential theorists and their contributions to existential therapy.

Recognize the goals and central tasks of existential psychotherapy.

Grasp the therapeutic dynamics within existential psychotherapy, including therapist-patient interaction and the role of choice and responsibility.

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Definitions:

Ventromedial

Referring to a position towards the bottom and middle of a structure or an organ, often used in neuroscience to describe a part of the brain.

Lateral

Pertaining to the side; often used to describe structures that are situated on, toward, or relating to the side of an organ or body.

Lesioning

Lesioning is a technique used in neuroscience and research to study brain functions by selectively damaging specific areas and observing the effects.

Meal Reduction

The practice of reducing the size or frequency of meals for reasons such as dieting, fasting, or managing food intake for health.