Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 352: 60


please see image

Work Step by Step

The graph of y=$\log_{3}x$ is obtained from y=$3^{x}$ by reflecting across the line y=x. Steps : 1. (red) Draw the graph of y=$3^{x}$. Plot several points (see table in the image) and join with a smooth curve 2. Use the coordinates from the points and swap x an y in each to obtain new points. 3. (yellow dashed) Draw the line y=x. 4. The points in step 2 are reflections of points in step 1 about the line y=x 5. (blue) Join the points from step 2 with a smooth curve, so it becomes the reflection (about the line y=x) of the graph of y=$3^{x}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.