Use the One-To-One Property of Logarithms to Solve Logarithmic Equations $\log 4 x = \log 5 + \log ( x - 1 )$

question 223

Multiple Choice

Use the One-to-One Property of Logarithms to Solve Logarithmic Equations
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
- $\log 4 x = \log 5 + \log ( x - 1 )$

• A) \(\{ 5 \}\)
• B) \(\left\{ \frac { 4 } { 3 } \right\}\)
• C) \(\{ - 5 \}\)
• D) \(\left\{ - \frac { 5 } { 9 } \right\}\)

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Definitions:

Gall Bladder

A small, pear-shaped organ located under the liver which stores and concentrates bile.

Pancreas

Organ that secretes digestive enzymes into the small intestine, and insulin and glucagon into the blood.

Small Intestine

Longest portion of the digestive tract, and the site of most digestion and absorption.

Brush Border

A densely packed layer of microvilli found on the apical surface of epithelial cells in the small intestine, enhancing nutrient absorption.