Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 195

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

---

Definitions:

Cambridge-Somerville

A study designed to evaluate the long-term effects of early intervention in preventing delinquency.

Intervention

A planned action or process aimed at changing a situation or condition, often used in the context of health, education, or social services.

Needs Assessment

A systematic process used to determine and address gaps between current conditions and desired outcomes.

Faculty Morale

The overall sense of well-being, satisfaction, and optimism among teachers or academic staff, significantly affecting their motivation and performance.