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 - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding: 18

Answer

$\ln{M}=2.2$

Work Step by Step

We know that: (1) if $a^x=y$, then $\log_a y=x$; and (2) $\log_e{x}=\ln{x}$. Hence if $e^{2.2}=M$, then \begin{align*} \log_e{M}=2.2\\ \ln{M}=2.2 \end{align*}
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