Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 119

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 5 } \left( \frac { \sqrt { x } } { 125 } \right)$

• A) \(\log _ { 5 } x - 3\)
• B) \(\frac { 1 } { 2 } \log _ { 5 } x - 3\)
• C) \(15 - \frac { 1 } { 2 } \log _ { 5 } x\)
• D) \(- 3 \log _ { 5 } x\)

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Definitions:

Moral Education

The process of teaching individuals, especially children and adolescents, about the values and ethical conduct considered desirable in a given society.

Service Learning

An educational approach that combines learning objectives with community service, allowing students to gain hands-on experience while benefiting their communities.

Cognitive-moral Education

An approach in education that focuses on the development of ethical thinking and moral reasoning skills.

Moral Reasoning

The process of determining right from wrong in a logical, systematic way, often based on ethical principles.