Use the Properties of Logarithms to Rewrite the Expression $$\log _ { a } \left( 4 x ^ { 5 } y \right)$$

question 177

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $$\log _ { a } \left( 4 x ^ { 5 } y \right)$$

• A) \(\log _ { a } 4 + \left( \log _ { a } x \right) ^ { 5 } + \log _ { a } y\)
• B) \(\log _ { a } 4 + 5 \log _ { a } x + \log _ { a } y\)
• C) \(\left( \log _ { a } 4 \right) \left( \log _ { a } x \right) \left( \log _ { a } y \right)\)
• D) \(\log _ { a } \left( 4 + x ^ { 5 } + y \right)\)

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Definitions:

Variable Expenses

Costs that change in proportion to the activity of a business such as sales volume or production levels.

CVP Income Statement

A financial report that shows the effects of varying levels of sales and product costs on a company's net income.

Gross Profit

The financial measure representing the difference between sales revenue and the cost of goods sold before deducting administrative and selling expenses.

CVP Analysis

Cost-Volume-Profit Analysis; a financial tool used to determine the impact on an organization's profits due to changes in volume, costs, and prices.