Find the Domain y = natural log of x+2

Problem

y=ln(x+2)

Solution

1. Identify the restriction for the natural logarithm function, which requires the argument to be strictly greater than zero.

2. Set up the inequality by taking the expression inside the natural log and making it greater than zero.

x+2>0

3. Solve the inequality for x by subtracting 2 from both sides.

x>−2

4. Express the domain in interval notation based on the inequality.

(−2,∞)

Final Answer

Domain:(−2,∞)

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