Find C and a so that f(x)=Ca^x satisfies f(0)=3 and f(2)=12

I need in-depth help on how to solve this. I'm not grasping the concept very well. Thanks in advance.
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lets work on this one step at a time. Given that f(0) = 3. We know that a^0 will always give us 1. Therefore c must equal three. Therefor we now solve for a and obtain12 = 3a^2 a = 3 and -3
by Level 3 User (2.4k points)

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