# How do you find the exponential function, #n(t)=n_oe^(kt)# that satisfies the conditions #n(0)=3# and #n(7)=21#?

##### 1 Answer

Feb 12, 2015

if

then

and

**How we got there** :

We are given that:

or

So,

Now we have

and

so

Since

if we take the natural log of both sides

becomes

or

and the original equation:

becomes