Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 98

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $$\log _ { 3 } \left( \frac { 7 } { 13 } \right)$$

• A) \(\log _ { 3 } 7 - \log _ { 3 } 13\)
• B) \(\log _ { 3 } 13 - \log _ { 3 } 7\)
• C) \(\log _ { 3 } 7 + \log _ { 3 } 13\)
• D) \(\frac { \log _ { 3 } 7 } { \log _ { 3 } 13 }\)

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Definitions:

Stay-At-Home Mother

A mother who chooses to stay at home to raise their children rather than pursue employment outside the home.

Later-Born Children

Siblings who are born after the first child in a family, often discussed in studies of birth order effects.

First-Born Children

Referring to the first child born into a family, often subject to research on birth order effects on personality and development.

Sociable

Inclined to seek and enjoy the company of others; outgoing and friendly.