Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 331: 43



Work Step by Step

Recall: $\log_a{\left(\dfrac{M}{N}\right)} = \log_a M-\log_a N$ Using the rule above gives: $\ln \left(\dfrac{x}{e^x} \right) = \ln{x}-\ln{\left(e^x\right)}$ Recall also that $\ln e^x = x$. Thus, $\ln{\left(\dfrac{x}{e^x} \right)} = \boxed{\ln{x}-x}$
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.