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 - Page 388: 56

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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