Equation of an exponential function

[Math_Junkie]

How would I go about finding the equation to the following function:

I know that the base is an exponential function, f(x) = Something[sup:2zhpouuv]x[/sup:2zhpouuv].

Any help/suggestions?

 

[galactus]

We have \(\displaystyle y=a\cdot b^{x}\)

\(\displaystyle 24=a\cdot b^{3}\)

\(\displaystyle 6=a\cdot b^{1}\)

solve for a and b.

 

[Math_Junkie]

Thank-you.