SOLUTION: find exponential equation passes through points(-2,6)and (3,1)

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Question 1193961: find exponential equation passes through points(-2,6)and (3,1)
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Equation or Function?

If you want a form like this, , then the two given points make that , and you can solve for a and b.
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


An exponential function is one of the form .

Given two ordered (x,y) pairs that satisfy the equation, the standard path to the solution starts with plugging each set of x and y values in the general form to get two equations in the parameters a and b. For this example...




Then dividing one equation by the other eliminates parameter a, allowing you to solve for b:




Then you can plug this value of b into either original equation to solve for a.

I'll let you do the work. Since the value of b is the 5th root of 6, use a calculator....
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