Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.3 One-to-One Functions; Inverse Functions - 5.3 Assess Your Understanding - Page 282: 87

Answer

$3^x=5$

Work Step by Step

We know that $9=3^2$. Hence $9^x=25\\(3^2)^x=25\\3^{2x}=25\\\sqrt{3^{2x}}=\sqrt{25}\\\sqrt{(3^{x})^2}=\sqrt{5^2}\\3^x=5$
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.