Answer
$y=\log_{3}x$
Work Step by Step
We know the function takes the form:
$y=\log_{a}x$
We wish to find the base $a$. We use the point given: $(9,2)$
$2=\log_{a}9$
$a^{2}=9$
$a=\sqrt{9}=3$
Therefore the function is:
$y=\log_{3}x$
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