Umformen in N(t) = N0 *a^t

Question

N(t) = e^(5-3*t) in N(t)= N0*a^t umformen?

Answer 1

N(t) = e^(5-3*t)

       = e^5  *  e^(-3t)

      = e^5  *  (e^(-3))^t

     = 148,41* 0,049787^t

in N(t)= N0*at umformen?

Answer 2

N(t) = e^(5 - 3·t) = e^5·e^(- 3·t) = e^5·(e^(- 3))^t = 148.4·0.04979^t