College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.5 - Properties of Logarithms - 6.5 Assess Your Understanding: 11

Answer

Option (b)

Work Step by Step

RECALL: $e^{b\cdot \ln{a}}=a^b$ (a) $e^{2x} \ne 2^x$ (b) Using the property in the recall part above gives: $e^{x\cdot\ln{2}} = 2^x$ (c) $e^{\log_2{x}} \ne 2^x$ (d) Using the property in the recall part above gives: $e^{2\cdot\ln{x}} = x^2$ Thus, only the expression in Option (b) is equivalent to $2^x$.
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.