## College Algebra 7th Edition

$y=\log_{9}x$
We know the function takes the form: $y=\log_{a}x$ We wish to find the base $a$. We use the point given: $(3,\frac{1}{2})$ $\frac{1}{2}=\log_{a}3$ $a^{\frac{1}{2}}=3$ $a=3^2=9$ Therefore the function is: $y=\log_{9}x$