Use the Properties of Logarithms to Expand the Expression as a Sum,difference,and/or

question 50

Multiple Choice

Use the properties of logarithms to expand the expression as a sum,difference,and/or constant multiple of logarithms.(Assume all variables are positive. ) ?
Log 5x⁴y
?

• A)log 5 × 4log x × log y
• B)log 5 + 4log x - log y
• C)log 5 + log x + 4log y
• D)log 5 + 4log x + log y
• E) \(\frac { \log 5 } { 4 ( \log x + \log y ) }\)

---

Definitions:

Machine-Hours

A unit of measure representing the operation of machinery or equipment for one hour, often used in allocating manufacturing overhead costs based on actual or budgeted machine usage.

Overhead Cost

Expenses related to running a business that cannot be directly tied to a specific product or service, such as utilities, rent, and administrative salaries.

Activity-Based Costing

An accounting method that assigns costs to products or services based on the activities they require, aiming to provide more accurate cost information.

Activity Rate

The cost driver rate used in activity-based costing to allocate overhead costs to products or services.