Choose the One Alternative That Best Completes the Statement or Answers

question 127

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
- $\ln \left( \frac { ( x + 5 ) ( x - 2 ) } { ( x - 8 ) ^ { 4 } } \right) ^ { 4 / 3 } , \quad x > 2$

• A) \(4 \ln ( x + 5 ) - 3 \ln ( x - 2 ) - \frac { 16 } { 3 } \ln ( x - 8 )\)
• B) \(\frac { 4 } { 3 } \ln \left( x ^ { 2 } + 7 x - 10 \right) - \frac { 16 } { 3 } \ln ( x - 8 )\)
• C) \(\ln ( x + 5 ) + \ln ( x - 2 ) + \ln 4 - 16 \ln ( x - 8 ) - \ln 3\)
• D) \(\frac { 4 } { 3 } \ln ( x + 5 ) + \frac { 4 } { 3 } \ln ( x - 2 ) - \frac { 16 } { 3 } \ln ( x - 8 )\)

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Definitions:

Nietzsche

Friedrich Nietzsche, a 19th-century German philosopher known for his critique of traditional moral values and the concept of the "will to power."

Courageous Person

An individual who displays bravery and willingness to face fear, pain, risk/danger, uncertainty, or intimidation.

Ayn Rand

A 20th-century Russian-American writer and philosopher best known for her philosophy of Objectivism and her novels "Atlas Shrugged" and "The Fountainhead."

Ethical Egoism

The thesis that people ought to act in their own self-interest.