Answer
$x=ln3-ln7$
Work Step by Step
Given: $10(1+e^{-x})^{-1}=3$
Divide both sides by 10.
$(1+e^{-x})^{-1}=\frac{3}{10}$
$\frac{1}{(1+e^{-x})}=\frac{10}{3}$
Hence, $x=ln3-ln7$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - 6.3* The Natural Exponential Function - 6.3* Exercises - Page 452: 10
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