2
ALMultiple Choice

Logarithmic Functions and Their Graphs

Question 2 • EA Pre-Calculus Credit Recovery

Which of the following is true for the function y = log3(x)?

Answer
A
It is the inverse of the function y = x3.
B
It is the inverse of the function y = 3x.
C
It is the reciprocal of the function y = x3.
D
It is the reciprocal of the function y = 3x.

Explanation

The logarithmic function y = log₃(x) is the inverse of the exponential function y = 3ˣ. Inverse functions undo each other: if y = log₃(x), then 3ʸ = x. It is not the reciprocal of 3ˣ; a reciprocal would be 1/(3ˣ).

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