Use Properties of Logarithms to Condense the Logarithmic Expression $3 \log _ { 6 } x + 5 \log _ { 6 } ( x - 6 )$

question 11

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $3 \log _ { 6 } x + 5 \log _ { 6 } ( x - 6 )$

• A) \(\log _ { 6 } x ^ { 3 } ( x - 6 ) ^ { 5 }\)
• B) \(\log _ { 6 } x ( x - 6 ) ^ { 15 }\)
• C) \(15 \log _ { 6 } x ( x - 6 )\)
• D) \(\log _ { 6 } x ( x - 6 )\)

---

Definitions:

Vaudeville Shows

A genre of multi-act entertainment popular in the United States and Canada from the early 1880s until the early 1930s, featuring a mixture of specialty acts such as burlesque comedy, song, and dance.

Industrial Freedom

The concept advocating for the freedom of individuals to work in industries without excessive regulation or restrictions, emphasizing economic independence and innovation.

Scientific Management

A theory of management that analyzes and synthesizes workflows to improve economic efficiency, especially labor productivity.

Progressive Era

A period of widespread social activism and political reform in the United States that spanned from the 1890s to the 1920s.