College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Review Exercises - Page 469: 50


no solution

Work Step by Step

Subtracting $2$ to both sides of the equation, the given equation, $ \left(\dfrac{1}{2}\right)^x+2=0 ,$ is equivalent to \begin{array}{l}\require{cancel} \left(\dfrac{1}{2}\right)^x=-2 .\end{array} The left side of the equation above is always a positive number for any value of $x$. This will never be equal to the negative value at the right. Hence, this equation does not have a 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.