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: 49

Answer

$f(x)=\log_{3}x$

Work Step by Step

Create a table of function values. For x, select powers of 3, since $\log_{3}3^{n}=n$ $\left[\begin{array}{llllll} x & 1/9 & 1/3 & 1 & 3 & 9\\ f(x) & -2 & 1 & 0 & 1 & 2 \end{array}\right]$ Plot the points and join with a smooth curve.
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