Find the Domain log of 5x+3

Problem

(log_)(5*x+3)

Solution

1. Identify the condition for the domain of a logarithmic function. The argument of a logarithm must be strictly greater than zero.

2. Set up the inequality based on the argument of the function.

5*x+3>0

3. Isolate the variable term by subtracting 3 from both sides of the inequality.

5*x>−3

4. Solve for x by dividing both sides by 5.

x>−3/5

5. Express the domain in interval notation.

(−3/5,∞)

Final Answer

Domain of *(log_)(5*x+3)=(−3/5,∞)

Want more problems? Check here!