Find the Domain y = log of x

Problem

y=(log_)(x)

Solution

1. Identify the type of function. The given function is a logarithmic function.

2. Recall the definition of a logarithm. For any logarithmic function y=(log_b)(x) the argument x must be strictly greater than zero because there is no power to which a positive base b can be raised to result in a non-positive number.

3. Set up the inequality for the domain. The argument of the logarithm is x so we require x>0

4. Express the domain in interval notation. The set of all real numbers greater than zero is represented as (0,∞)

Final Answer

Domain: *(0,∞)

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