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 4.4 Logarithmic Functions - 4.4 Assess Your Understanding - Page 322: 106

Answer

$-1$

Work Step by Step

$\because y=\log_a x \text{ is equivalent to } x= a^y$ $\therefore -1 = \log_3 3^x \text{ is equivalent to } 3^x=3^{-1}$ Solve the equation above using the rule $a^m=a^n\implies =n$ to obtain: $$3^x=3^{-1}$$ $$x=-1$$
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.