Use the Properties of Logarithms to Rewrite the Expression $\log _ { 5 } \left( \frac { 8 \sqrt { m } } { n } \right)$

question 373

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 5 } \left( \frac { 8 \sqrt { m } } { n } \right)$

• A) \(\log _ { 5 } 8 + \frac { 1 } { 2 } \log _ { 5 } m - \log _ { 5 } n\)
• B) \(\log _ { 5 } 8 \cdot \left( \frac { 1 } { 2 } \log _ { 5 } m \right) \div \log _ { 5 } n\)
• C) \(\log _ { 5 } n - \log _ { 5 } 8 - \frac { 1 } { 2 } \log _ { 5 } m\)
• D) \(\log _ { 5 } 8 + \sqrt { \log _ { 5 } m } - \log _ { 5 } n\)

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Definitions:

Relevant Range

The range of activity within which the assumptions about fixed and variable costs are valid for the purposes of cost analysis and budgeting.

Conversion Costs

The sum of labor and overhead expenses required to convert raw materials into finished goods.

Incurred Costs

are expenses that a company has realized or recognized, typically associated with the production of goods or services.

Product Costs

Costs that are directly associated with the manufacturing of a product, including materials, labor, and overhead.