Use the Laws of Logarithms to Write the Expression as the Logarithm

question 135

Multiple Choice

Use the laws of logarithms to write the expression as the logarithm of a single quantity.
$4 \ln 3 - \frac { 3 } { 4 } \ln ( x + 3 )$

• A) \(\ln \frac { 81 } { ( x + 3 ) ^ { 3 / 4 } }\)
• B) \(\frac { 3 \ln 81 } { 4 ( x + 3 ) }\)
• C) \(\ln 3 ^ { 4 } - \ln ( x + 3 ) ^ { 3 / 4 }\)
• D) \(\frac { 4 \ln 3 } { \frac { 3 } { 4 } \ln ( x + 3 ) }\)

---

Definitions:

Utilitarianism

An ethical theory that posits that the best action is the one that maximizes utility, often defined as maximizing happiness and reducing suffering.

Preferences

The likes, desires, or choices a person has, which influence their behavior and decision-making, often considered in economics, psychology, and ethics.

Justice

The principle of moral righteousness and fairness that governs individual behavior and societal laws.

Beneficence

A principle in ethics and morality that refers to the act of doing good or performing actions for the benefit of others.