Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 145

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 6 } \left( \frac { 7 \cdot 11 } { 13 } \right)$

• A) \(\log _ { 6 } 5\)
• B) \(\log _ { 6 } 77 - \log _ { 6 } 13\)
• C) \(\log _ { 6 } 7 + \log _ { 6 } 11 - \log _ { 6 } 13\)
• D) \(\log _ { 6 } \left( \frac { 77 } { 13 } \right)\)

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Definitions:

Middle Adulthood

A developmental stage that occurs roughly between the ages of 40 and 65, characterized by stable work, relationships, and a focus on personal and family well-being.

Late Adulthood

The stage of life characterized by ages 65 and older, often associated with retirement and increased focus on personal relationships and leisure activities.

Cross-sectional Study

A research method that analyzes data from a population, or a representative subset, at a specific point in time to make inferences about the population.

Different Age

Different age typically refers to a significant age difference between individuals, which may influence their perspectives, interactions, or developmental stages.