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: 20



Work Step by Step

Recall: $$\ln{a}=y \longleftrightarrow e^y=a$$ Use the definition above to obtain: \begin{align*} \ln{3x}&=6\\\\ e^6&=3x\\\\ \frac{e^6}{3}&=\frac{3x}{3}\\\\ \frac{e^6}{3}&=x \end{align*}
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