SOLUTION: Convert the equation f(t)=242(1.16)^t to the form f(t)=ae^(kt)

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Question 1058598: Convert the equation
f(t)=242(1.16)^t to the form f(t)=ae^(kt)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
1.16%5Et=e%5E%28kt%29

ln%281.16%5Et%29=ln%28e%5E%28kt%29%29

t%2Aln%281.16%29=kt%2Aln%28e%29

ln%281.16%29=k%2A1

k=ln%281.16%29

Revised function model, highlight%28f%28t%29=242%2Ae%5E%28ln%281.16%29t%29%29, and you could find the decimal approximation for k if you want to.