College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 55

Answer

$y=\log_{9}x$

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: $(3,\frac{1}{2})$ $\frac{1}{2}=\log_{a}3$ $a^{\frac{1}{2}}=3$ $a=3^2=9$ Therefore the function is: $y=\log_{9}x$
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