Write as the Sum And/or Difference of Logarithms $\log _ { 2 } \left( \frac { x + 5 } { x ^ { 7 } } \right)$

question 31

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- $\log _ { 2 } \left( \frac { x + 5 } { x ^ { 7 } } \right)$

• A) \(\log _ { 2 } ( x + 5 ) - 7 \log _ { 2 } x\)
• B) \(\log _ { 2 } ( x + 5 ) + 7 \log _ { 2 } x\)
• C) \(\log _ { 2 } ( x + 5 ) - \log _ { 2 } x\)
• D) \(7 \log _ { 2 } x - \log _ { 2 } ( x + 5 )\)

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Definitions:

Guiding Function Of Prices

The role of prices in signaling to both buyers and sellers about the relative scarcity or abundance of goods and services, thus guiding their economic decisions.

System Accommodate Change

A system's ability to adjust or adapt to changes in its environment or operations, ensuring continued functionality or efficiency.

New Production Technique

Innovations or methodologies that improve the efficiency or quality of product manufacturing or service delivery.

Economic Profit

The total revenue of a business minus its explicit and implicit costs.