Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 7 - Exponential and Logarithmic Functions - 7-6 Natural Logarithms - Practice and Problem-Solving Exercises - Page 481: 51

Answer

$\dfrac{1}{2}$

Work Step by Step

Recall: $\log_a{\left(a^n\right)}=n$ Using the rule above, and knowing the natural logarithms has base $e$, gives: \begin{align*} \dfrac{\ln{\left(e^4\right)}}{8}&=\dfrac{\log_e{\left(e^4\right)}}{8}\\\\ &=\dfrac{4}{8}\\\\ &=\dfrac{1}{2} \end{align*}
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