Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 3

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $$\log _ { 3 } x ^ { 6 }$$

• A) \(6 \log _ { 3 } x\)
• B) \(3 \log _ { 6 } x\)
• C) \(3 \log x\)
• D) \(6 \log _ { 3 } x ^ { 6 }\)

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Definitions:

Qualitative Data

Data that is descriptive and conceptual, often categorized based on qualities and characteristics that are not numerical.

Chi-squared Test

An analytical test designed to evaluate whether there's a significant discrepancy between frequencies observed and those anticipated in various categories.

Contingency Table

A table used in statistics to display the frequency distribution of variables, showing the observed number of cases in each category.

Nominal Data

Data categorized without a natural order or ranking among the categories, such as gender or race.