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Define the domain of the function f(x) = log2(x_3).

Options:
a. x > 3
b. x ≥ 3
c. x < 3
d. x ≤ 3

1 Answer

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Final answer:

The domain of the logarithmic function f(x) = log2(x - 3) is all x-values greater than 3 because the logarithm of a non-positive number is undefined.

Step-by-step explanation:

The domain of a function is the set of input values (x-values) for which the function is defined. For the logarithmic function f(x) = log2(x - 3), the argument of the logarithm (x - 3) must be positive because the logarithm of a non-positive number is undefined. Therefore, the domain of the function is all x-values such that x - 3 > 0, which simplifies to x > 3.

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