Answer
$f(t)=2.3*e^{0.7885t}$
Work Step by Step
We can convert the general function of:
$f(t)=A*b^{t}$ as: $f(t)=Q_0*(e^k)^{t}=Q_0*e^{kt}$
In the exercise, we have:
$f(t)=2.3*2.2^{t}$
In order to get the desired form of the function we have to convert:
$2.2=e^{k}$
We can use the logarithm for this:
$\log_e{2.2}=k$
$\ln{2.2}=0.7885=k$
Therefore the result will be:
$f(t)=2.3*e^{0.7885t}$
