Convert the given exponential function to the form indicated.

Question

f(t) = 2.7(1.004)^t --> f(t) = Q0e^kt

I'm not even sure where to start with this one - any help would be greatly appreciated.

Answer 1

let y = f(t)/2.7 to make it easy

y = 1.004^t

ln y = t ln 1.004 = 0.00399 t

e^ln y = y = e^.00399 t

so
f(t) = 2.7 y = 2.7 e^.00399 t