Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 76

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 6 } \left( \frac { x - 6 } { x ^ { 8 } } \right)$

• A) \(\log _ { 6 } ( x - 6 ) - \log _ { 6 } x\)
• B) \(8 \log _ { 6 } x - \log _ { 6 } ( x - 6 )\)
• C) \(\log _ { 6 } ( x - 6 ) + 8 \log _ { 6 } x\)
• D) \(\log _ { 6 } ( x - 6 ) - 8 \log _ { 6 } x\)

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Definitions:

Net Operating Income

Represents the earnings derived from a company's ongoing, regular business activities, underscored by subtracting day-to-day expenses from total income.

Selling Price

The amount of money for which a product, asset, or service is sold, determining the revenue received from the transaction.

Fixed Expenses

Financial obligations that stay uniform in spite of changes in manufacturing or sales figures, like leasing expenses, salaries for workers, and insurance outlays.

Operating Leverage

A financial concept that measures a company's fixed costs as a percentage of its total costs, indicating how a change in sales will impact profits due to fixed expenses.