Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 395: 44

Answer

$x=2.298$

Work Step by Step

$\frac{100}{1+e^{2x}}=1$ $100=1+e^{2x}$ $99=e^{2x}$ $\ln99=\ln e^{2x}$ $\ln99=2x$ $x=\frac{\ln99}{2}=2.298$
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