Find the Domain natural log of x-2

Problem

ln(x−2)

Solution

1. Identify the restriction for the natural logarithm function. The argument of a logarithm must be strictly greater than zero.

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

x−2>0

3. Solve the inequality for x by adding 2 to both sides.

x>2

4. Express the solution in interval notation. Since x must be greater than 2 but not equal to 2 the interval starts with a parenthesis at 2 and extends to infinity.

(2,∞)

Final Answer

Domain:(2,∞)

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