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What is the domain of the logarithmic function 𝑦=log3(𝑥)?

Question

What is the domain of the logarithmic function 𝑦=log3(𝑥)?

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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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