Use the Quotient Rule
Use Properties of Logarithms to Expand $\log _ { 3 } \left( \frac { 2 } { 5 } \right)$

question 86

Multiple Choice

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

• A) \(\log _ { 3 } 2 - \log _ { 3 } 5\)
• B) \(\log _ { 3 } 2 + \log _ { 3 } 5\)
• C) \(\log _ { 3 } 5 - \log _ { 3 } 2\)
• D) \(\frac { \log _ { 3 } 2 } { \log _ { 3 } 5 }\)

---

Definitions:

Gratitude

A feeling of thankfulness and appreciation towards others, oneself, or the situation at hand.

Prima Facie Duties

Obligations that are binding unless they conflict with a more important duty.

Moral Value

Principles or standards of behavior that are considered important in distinguishing right from wrong.

Moral Sentiment

An emotional response that informs or is related to one's sense of right and wrong.