Find the Domain log base 2 of 2x-4=-2

Problem

(log_2)(2*x−4)=−2

Solution

1. Identify the argument of the logarithmic function. For a logarithm to be defined, its argument must be strictly greater than zero.

2. Set up the inequality for the domain based on the argument 2*x−4

2*x−4>0

3. Solve the inequality by adding 4 to both sides.

2*x>4

4. Divide both sides by 2 to isolate x

x>2

5. Express the domain in interval notation.

(2,∞)

Final Answer

Domain: *(2,∞)

Want more problems? Check here!