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: 17

Answer

$\ln{8}=x$

Work Step by Step

We know that: (i) if $a^x=y$, then $\log_a y=x$; and (ii) $\log_e{x}=ln x$. Hence if $e^x=8$, then \begin{align*}\\ \log_e{8}&=x\\ \ln{8}&=x\\ \end{align*}
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