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27-10-2016
Mathematics

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What is the answer to 400/(1+e^-x)=350

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27-10-2016

400/(1+e^-x)=350
400=350(1+e^-x)
400=350+350e^-x
350e^-x=400-350
350e^-x=50
e^-x=50/350
e^-x=1/7
ln e^-x=ln (1/7)
-x ^(ln e)=ln1-ln7
-x(1)=0-ln7
x=ln7

Answer: x= ln 7 ≈1.94591...

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