Find the Domain y = log base 3 of x

Problem

y=(log_3)(x)

Solution

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

2. Set up the inequality for the argument of the function, which in this case is x

x>0

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

(0,∞)

Final Answer

Domain:(0,∞)

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