Separable differential equations: Suppose a population P = P(t) grows in such a way that its rate of growth $\frac{dP}{dt}$obeys the equation $\frac{dP}{dt}=P\left(100-P\right)$

This is called a differential equation because it is an equation that involves a derivative. In the series of steps that follow, you will find a function P(t) that behaves according to this differential equation.

Use properties of logarithms to simplify the answer you found in the previous question.

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