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 - 5.6 Logarithmic and Exponential Equations - 5.6 Assess Your Understanding - Page 312: 66

Answer

no real solution.

Work Step by Step

Step 1. Let $u=7^x$, we have $2u^2+11u+5=0 \longrightarrow (2u+1)(u+5)=0 \longrightarrow u=-5,-\frac{1}{2}$ Step 2. For $u=-5$, we have $7^x=-5 \longrightarrow $ no real solution. Step 3. For $u=-\frac{1}{2}$, we have $7^x=-\frac{1}{2} \longrightarrow $ no real solution.
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.