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

question 22

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:

Testable Prediction

A statement that anticipates a specific outcome of a study or experiment, based on a hypothesis, which can be empirically verified.

Operational Definition

A statement of the procedures (operations) used to define research variables. For example, human intelligence may be operationally defined as “what an intelligence test measures.”

Research Variable

An element or factor within a study that can be changed and manipulated, or measured and evaluated to determine its effects on the outcome of the study.

Case-Study Evidence

consists of detailed examinations of individuals or groups from a real-world context, often used in psychology and sociology to explore complex issues.