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Mathematics, 13.02.2020 18:41 meaddestinee

Let your dependent variable in the function be y. Write the function that models the independent variable in terms of y, using logarithms. based on this f(x)=100 solve for x
100=20(1.5)^x

100/20=(1.5)^x

5=(1.5)^x

log1.5(5)=log1.5(1.5)^x

log1.5(5)=x

x=log1.5(5)

x=3.97 years

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