Create exponential function using two points

Question

I need to create an exponential function using points (1, 118453) and (15,1484) thank you

Answer 1

Create a system of equations using the general form: y=ab^x

1484=ab¹⁵

118453=ab

Dividing these equations enables us to solve for b:

b¹⁴=(1484/118453)

b=(1484/118453)^1/14 = .7314

118453 = a(.7314)

161961.2869 = a

y = 161961.2869 (.7314)^x

^