exponential equation that goes through (1,28) and (6,14706)

Answer 1

The exponential equation is: y=Ae^kx where A and k are to be determined from the conditions given.

28 = Ae^k and 14706 = Ae^6k

If you take the natural logarithm of each side, you will get 2 simultaneous linear equations in k and ln ln A.

Solve those equations for the values of k and A.