Answer :
The function shown in the graph, obtained using the base of the logarithmic functions is the third option;
y = log₃X
What is the base of a logarithmic function?
The base of a logarithmic function is the value that the argument of the function is raised to in order to get the output.
The points on the graph are (3, 1), (1, 0), (0.33, -1). These points satisfy the function y = log₃X because 3^1 = 3, 3^0 = 1, and 3^(-1) ≈ 0.33
The other options do not satisfy these conditions. For example, y = [tex]log_{0.4}[/tex]X would not work because 0.4^1 is not equal to 3 and similarly for the other options
Learn more on logarithmic functions here: https://brainly.com/question/30128291
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