Use the Change of Base Formula and the Properties of Logarithms

question 120

Multiple Choice

Use the change of base formula and the properties of logarithms to rewrite the expression as a single logarithm in the
indicated base.
- $\log 81 x ^ { 12 } + \log 27 y ^ { 9 } - \log _ { 9 } w ^ { 6 }$ , base 3

• A) \(\log _ { 3 } \frac { x ^ { 12 } y ^ { 9 } } { z ^ { 6 } }\)
• B) \(\log _ { 3 } \frac { x ^ { 3 } y ^ { 3 } } { z ^ { 3 } }\)
• C) \(\log _ { 3 } \left( x ^ { 3 } + y ^ { 3 } - z ^ { 3 } \right)\)
• D) \(\log _ { 3 } x ^ { 3 } y ^ { 3 } z ^ { 3 }\)

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Definitions:

Total Revenue

The complete amount of income generated by a business from its sales or services before any costs or expenses are subtracted.

Marginal Costs

The cost added by producing one additional unit of a product or service.

Disposable Income

The amount of money individuals or households have to spend or save after taxes have been deducted.

Carrying Costs

Expenses associated with holding inventory, including storage, handling, insurance, and spoilage costs.