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:

Retinal Background

Refers to the overall appearance of the retina, including its vascular structure and color, important in diagnosing retinal diseases.

Palpebral Fissures

The natural openings between the upper and lower eyelids.

Lacrimal Apparatus

A system in the body responsible for the production and drainage of tears, including the lacrimal glands and ducts.

Nasolacrimal Duct

The nasolacrimal duct is a tube that drains tears from the eye into the nasal cavity, allowing for tear drainage and removal of debris.