College Algebra (10th Edition)

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

Chapter 6 - Section 6.4 - Logarithmic Functions - 6.4 Assess Your Understanding - Page 449: 38


$\ln{(e^3)} = 3$

Work Step by Step

Let $\ln{(e^3)}=y$ RECALL: $\ln{x} = y \longrightarrow e^y=x$ Use the rule above to obtain: $\ln{e^3} = y \longrightarrow e^y=e^3$ Use the rule "$a^m=a^n \longrightarrow m=n$" to obtain: $y= 3$ Thus, $\ln{(e^3)} = 3$
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