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 4.4 Logarithmic Functions - 4.4 Assess Your Understanding - Page 322: 99

Answer

$\dfrac{\ln{10}}{3}$

Work Step by Step

$\because e^y=x \text{ is equivalent to } y=\ln{x}$ $\therefore e^{3x} = 10 \text{ is equivalent to } 3x=\ln(10)$ Solve the equation above to obtain: \begin{align*} 3x&=\ln{10}\\\\ x&= \dfrac{\ln{10}}{3} \end{align*}
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