Find the equation for the exponential function that passes through the points (4, 1) and (9, 10).

Answer 1

This problem will be easier if you use common logs rather than natural.

that is y = A*10^kx.

Then 0 = log A + 4k

and 1 = log A + 9k

You should be able to solve this easy simultaneous set for log A and k.

Then you need to solve A = 10^{log A}

^{The same procedure will work for natural logs, but the arithmetic is messier.}