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Question #04063

1 Answer

Mar 3, 2017

$x = \frac{1}{0.3} log (111)$ $x=1/0.3 log(111)$

Explanation:

$\frac{100}{1000} = \frac{1}{10} = \frac{1}{1 + 999 e^{- 0.3 x}}$ $100/1000=1/10=1/(1+999e^(-0.3x))$ so

$1 + 999 e^{- 0.3 x} = 10 \to e^{- 0.3 x} = \frac{9}{999} = \frac{1}{111}$ $1+999e^(-0.3x)=10->e^(-0.3x)=9/999=1/111$

finally

$- 0.3 x = log (\frac{1}{111}) = - log (111) \to x = \frac{1}{0.3} log (111)$ $-0.3x=log(1/111)=-log(111)->x=1/0.3 log(111)$

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