Question 979401
Pick your base for how to find logarithms, either 10 or e.  Use this for the function:  {{{y=ab^x}}}.  The variable b is the base for the function definition, which will not be expected to be 10 or e.


{{{log(10,y)=log(10,a)+x*log(10,b)}}}


{{{highlight_green(log(10,y)=x*log(10,b)+log(10,a))}}}.
This is a linear equation with slope {{{log(10,b)}}} and vertical axis intercept  {{{log(10,a)}}}.


The way you use the given points must now be as  (-2, log(10,2)) and (3, log(10,3)).


Now use the two points to form a system of two linear equations, and use your already existing skills for linear equations to find ... a and b.
Base ten was chosen for computational purposes.  You should not expect b to be 10.