Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.4 Exercises - Page 352: 10

Answer

$x=3.912$

Work Step by Step

$\frac{5000}{1+e^{2x}}=2$ $2500=1+e^{2x}$ $2499=e^{2x}$ $ln2499=2x$ $ln(e)$ $x=\frac{ln2499}{2}$ $\approx 3.911822965$ $=3.912$
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