Solve the Logarithmic Equation $$\log _ { 4 } ( x + 2 ) + \log _ { 4 } ( x - 4 ) = 2$$

question 50

Multiple Choice

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.
- $$\log _ { 4 } ( x + 2 ) + \log _ { 4 } ( x - 4 ) = 2$$

• A) \(\{ 6 \}\)
• B) \(\{ 6 , - 4 \}\)
• C) \(\{ - 4 \}\)
• D) \(\{ 7 \}\)

---

Definitions:

Price

Price refers to the amount of money expected, required, or given in payment for something.

Hamburger

A popular food item consisting of a cooked patty of ground meat, typically beef, placed inside a sliced bread roll or bun.

Hot Dog

A cooked sausage, traditionally grilled or steamed, served in a sliced bun as a sandwich.

Monthly Income

The total amount of money earned or received by an individual or household within a month from all sources.