What is the domain of the logarithmic function 𝑦=log3(𝑥)?
Question
What is the domain of the logarithmic function 𝑦=log3(𝑥)?
Solution
The domain of a logarithmic function is the set of all possible input values (x-values) that will output real numbers.
For the function y = log3(x), the input x must be greater than 0. This is because you cannot take the logarithm of a negative number or zero in the real number system.
Therefore, the domain of the function y = log3(x) is x > 0, or in interval notation, (0, ∞).
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