Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 173

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 7 } \left( \frac { \sqrt [ 3 ] { p } \sqrt [ 5 ] { q } } { t ^ { 2 } } \right)$

• A) \(\frac { 1 } { 3 } \log _ { 7 } p + \frac { 1 } { 5 } \log _ { 7 } q - 2 \log _ { 7 } t\)
• B) \(\frac { 1 } { 3 } \log _ { 7 } p \cdot \frac { 1 } { 5 } \log _ { 7 } q \div 2 \log _ { 7 } \mathrm { t }\)
• C) \(\frac { 3 } { 7 } \log _ { 7 } p + \frac { 5 } { 7 } \log _ { 7 } q - \frac { 2 } { 7 } \log _ { 7 } \mathrm { t }\)
• D) \(3 \log _ { 7 } p + 5 \log _ { 7 } q - 2 \log _ { 7 } \mathrm { t }\)

---

Definitions:

Self-Regulate

The ability to manage and adjust one's emotions, behaviors, and desires in accordance with one's long-term goals.

Conscious Processes

Mental activities of which an individual is aware, involving thought, perception, and decision-making.

Stereotypes

Oversimplified and widely held fixed images or ideas of particular types of people or things, often based on limited information.

College Athletes

Students who participate in competitive sports as part of their university or college activities, often balancing academic and athletic commitments.