Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.5 - Inverse Functions and Logarithms - 1.5 Exercises: 34

Answer

(a) The natural logarithm is the logarithm with the base equal to Euler's number $e$: (b) The common logarithm is the logarithm with the base equal to $10$. (c) The graphs are shown on the figure below (exponential is blue and the logarithm is red). The line $y=x$ is dashed.
1510530360

Work Step by Step

(a) The natural logarithm is the logarithm with the base equal to Euler's number $e$: $$\ln x =\log_{e}x.$$ (b) The common logarithm is the logarithm with the base equal to $10$: $$\log x= \log_{10}x$$ (c) The graph of the natural logarithm is obtained by reflecting the natural exponential function abour $y=x$ line and they are shown on the figure below (exponential is blue and the logarithm is red). The line $y=x$ is dashed.
Small 1510530360
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.