Use the Definition of a Logarithm to Solve Logarithmic Equations $$\log _ { 2 } ( x + 1 ) - \log _ { 2 } ( x - 3 ) = 4$$

question 138

Multiple Choice

Use the Definition of a Logarithm 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.
- $$\log _ { 2 } ( x + 1 ) - \log _ { 2 } ( x - 3 ) = 4$$

• A) \(\left\{ \frac { 49 } { 15 } \right\}\)
• B) \(\left\{ \frac { 4 } { 15 } \right\}\)
• C) \(\left\{ - \frac { 49 } { 15 } \right\}\)
• D) \(\varnothing\) )

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Definitions:

Oral Cavity

The mouth, an opening in the body where food intake occurs, beginning the process of digestion and housing many taste buds.

Esophagus

The tube that connects the throat (pharynx) with the stomach, transporting swallowed food and liquids.

Sphincters

Circular muscles that constrict passages or openings in the body, regulating the flow of substances within various organs.

Cartilage

Firm, smooth, resilient, nonvascular connective tissue.