Question 3.5.8: Rewriting the Model for World Population in Base e We have s...

Rewriting the Model for World Population in Base e

We have seen that the function

g(x)=2.577(1.017)^x

models world population, g(x), in billions, x years after 1949. Rewrite the model in terms of base e

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We use the two equivalent equations shown in the voice balloons to rewrite the model in terms of base e.

        is equivalent to       

Using ln 1.017 0.017, the exponential growth model for world population, g(x), in billions, x years after 1949 is

g(x)=2.577 e^{0.017 x}.

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