Assuming All Variables Are Positive, Use Properties of Logarithms to Write

question 17

Multiple Choice

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of
logarithms or multiples of logarithms.
- $\log _ { 15 } \left( \frac { 14 \sqrt { \mathrm { r } } } { \mathrm { s } } \right)$

• A) \(\log _ { 15 } ( 14 \sqrt { \mathrm { r } } ) - \log _ { 15 } \mathrm {~s}\)
• B) \(\log _ { 15 } 14 + \frac { 1 } { 2 } \log _ { 15 } \mathrm { r } - \log _ { 15 } \mathrm {~s}\)
• C) \(\log _ { 15 } 14 \cdot \frac { 1 } { 2 } \log _ { 15 } \mathrm { r } \div \log _ { 15 } \mathrm {~s}\)
• D) \(\log _ { 15 } s - \log _ { 15 } 14 - \frac { 1 } { 2 } \log _ { 15 } r\)

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Definitions:

Remachine

The process of reworking or refurbishing a piece of machinery to restore its functionality or improve its performance.

Manufacturing Cost

The total expense incurred in the process of producing goods, including direct materials, direct labor, and manufacturing overhead.

Scrap

Material that is discarded or left over from the manufacturing process, often repurposed or recycled, but sometimes considered waste.

Variable Production Cost

Costs that vary directly with the level of production output, such as materials and labor required for manufacturing.