Use Properties of Logarithms to Condense the Logarithmic Expression $$\log _ { 2 } ( x - 5 ) - \log _ { 2 } ( x - 2 )$$

question 118

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $$\log _ { 2 } ( x - 5 ) - \log _ { 2 } ( x - 2 )$$

• A) \(\log _ { 2 } \left( \frac { x - 5 } { x - 2 } \right)\)
• B) \(\log _ { 2 } \left( \frac { x - 5 } { x + 2 } \right)\)
• C) \(\log _ { 2 } - 3\)
• D) \(\log _ { 2 } \left( x ^ { 2 } - 7 x + 10 \right)\)

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Definitions:

Influence

The capacity to have an effect on the character, development, or behavior of someone or something, or the effect itself.

Formal Authority

Describes the power given to an individual or position by the organization to make decisions, command resources, and exact obedience.

Internalized Values

Beliefs or standards that individuals adopt as their own guiding principles, influencing their behavior and decision-making.

Right of Command

The authority given to a person or position to make decisions, issue orders, and expect them to be followed within an organizational hierarchy.