Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 331: 41

Answer

$1+\ln(x)$

Work Step by Step

$\log_a (MN) = \log_a M+\log_a N$ $\therefore \ln(ex) = \ln(e) + \ln(x)$ Recall that $\ln(e) = 1$. Thus, $\ln(ex) = \boxed{1+\ln(x)}$
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