Write the Logarithmic Expression as a Single Logarithm with Coefficient $$3 \log _ { 5 } m - 8 \log _ { 5 } n$$

question 203

Multiple Choice

Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as
possible.
- $$3 \log _ { 5 } m - 8 \log _ { 5 } n$$

• A) \(\log _ { 5 } \left( m ^ { 3 } - n ^ { 8 } \right)\)
• B) \(\log _ { 5 } \frac { m ^ { 3 } } { n ^ { 8 } }\)
• C) \(\frac { 3 } { 8 } \log _ { 5 } \frac { m } { n }\)
• D) \(\log _ { 5 } ( 3 m - 8 n )\)

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Definitions:

Least Squares Regression Line

A straight line that minimizes the sum of the squared differences between the observed and theoretical values.

Predict

To make an educated guess about the outcome of an event based on current information or data analysis.

Dependent Variable

A variable in statistical modeling and experiments whose value is influenced or predicted by other variables.

Independent Variable

A variable thought to be the cause or predictor of changes in a dependent variable.