The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. How do I find the the initial population?
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$\displaystyle P = P_o e^{kt}$ $\displaystyle \frac{350 = P_o e^{4k}}{125 = P_o e^{2k}}$ $\displaystyle 2.8 = e^{2k}$ solve for $\displaystyle k$, then go back to the easier equation and solve for $\displaystyle P_o$
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