OpenStax, Algebra and Trigonometry 2e §6.8 Fitting Exponential Models to Data · Exercise 61 · Algebra · Exponentials & logarithms

Fitting Exponential Models to Data · Exercise 61

Recall that the general form of a logistic equation for a population is given by $P (t) = \frac{c}{1 + a e ^{- b t}},$ such that the initial population at time $t = 0$ is $P (0) = P_{0} .$ Show algebraically that $\frac{c - P ( t )}{P ( t )} = \frac{c - P _{0}}{P _{0}} e^{- b t} .$

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OpenStax, Algebra and Trigonometry 2e · §6.8 Fitting Exponential Models to Data · Exercise 61

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