Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 67

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 3 } \left( \frac { 81 } { \sqrt { x - 1 } } \right)$

• A) \(4 \log _ { 3 } 3 - \frac { 1 } { 2 } \log _ { 3 } ( x - 1 )\)
• B) \(\log _ { 3 } 81 - \log _ { 3 } \sqrt { x - 1 }\)
• C) \(4 - \log _ { 3 } \sqrt { x - 1 }\)
• D) \(4 - \frac { 1 } { 2 } \log _ { 3 } ( x - 1 )\)

---

Definitions:

Hospitalization

The act or process of admitting someone to a hospital for medical care, treatment, or observation.

Drug Treatment

The use of pharmaceutical substances to manage or cure diseases and medical conditions, or to alleviate their symptoms.

Psychostimulant

A substance that elevates levels of nervous activity in the body, commonly used to improve mental alertness and reduce fatigue.

Antipsychotic

A class of drugs used to manage psychosis, particularly in disorders like schizophrenia, and to treat or prevent bipolar disorder.