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: 7

Answer

$x=0.511$

Work Step by Step

$50e^{-x}=30$ $e^{-x}=\frac{3}{5}$ $-x$ $ln(e)=ln(\frac{3}{5})$ $x=-ln(\frac{3}{5})$ $\approx 0.5108256..$ $=0.511$
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