Find the Domain 28=0.48 natural log of x+1+27

Problem

28=0.48*ln(x+1)+27

Solution

1. Identify the function type within the equation. The variable x is contained within a natural logarithm, ln(x+1)

2. Recall the restriction for logarithmic functions. The argument of a natural logarithm must be strictly greater than zero.

3. Set up the inequality for the argument.

x+1>0

4. Solve the inequality for x by subtracting 1 from both sides.

x>−1

5. Express the domain in interval notation. The values of x start just above −1 and continue to infinity.

(−1,∞)

Final Answer

Domain:(−1,∞)

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