Use the Properties of Logarithms to Rewrite the Expression $\log _ { b } \sqrt [ 3 ] { \frac { x ^ { 8 } } { y ^ { 4 } z ^ { 7 } } }$

question 126

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { b } \sqrt [ 3 ] { \frac { x ^ { 8 } } { y ^ { 4 } z ^ { 7 } } }$

• A) \(8 \log _ { b } x - 4 \log _ { b } y - 7 \log _ { b } z\)
• B) \(\frac { 8 } { 3 } \log _ { b } x - \frac { 4 } { 3 } \log _ { b y } - \frac { 7 } { 3 } \log _ { b } z\)
• C) \(\frac { 8 } { 3 } \log _ { b } x \div \left( \frac { 4 } { 3 } \log _ { b } y \cdot \frac { 7 } { 3 } \log _ { b } z \right)\)
• D) \(\frac { 1 } { 3 } \log _ { b } x ^ { 8 } - \log _ { b } y ^ { 4 } - \log _ { b } z ^ { 7 }\)

Recognize the significance of incorporating race, class, and gender in sociological research.

Understand the sociological viewpoint on male domination and female subordination.

Develop the ability to link sociological theory with social phenomena, understanding the impact of social structures.

Understand the nature and scope of sociology and the sociological perspective.

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Definitions:

Long-Term Asset

A resource that is expected to provide economic benefits to a company for more than one fiscal year.

Balance Sheet

A financial overview presenting the resources, obligations, and equity of shareholders of a company at a specific point in time.

Gross Profit

The difference between revenue and the cost of goods sold before deducting operating expenses, indicating the efficiency of core operations.

Merchandising Profit

The profit a company makes from buying goods at wholesale and selling them at retail.