Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 70

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 6 } \left( \frac { x - 4 } { x ^ { 4 } } \right)$

• A) \(\log _ { 6 } ( x - 4 ) - 4 \log _ { 6 } x\)
• B) \(\log _ { 6 } ( x - 4 ) + 4 \log _ { 6 } x\)
• C) \(4 \log _ { 6 } x - \log _ { 6 } ( x - 4 )\)
• D) \(\log _ { 6 } ( x - 4 ) - \log _ { 6 } x\)

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Definitions:

Selective Attention

The cognitive process of focusing on specific stimuli while ignoring others, allowing for more efficient information processing.

Recognizable Patterns

Observable and predictable sequences or arrangements in data, behavior, or events, which can be identified and often used for analysis or prediction.

Confirmation Bias

The tendency to search for, interpret, favor, and recall information in a way that confirms one's preexisting beliefs or hypotheses.

Values

Core beliefs or principles that guide behavior and decision-making within an individual or organization.