SOLUTION: Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 decimal places when necessary.) Through (2, 36) and

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Question 1097432: Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 decimal places when necessary.)
Through (2, 36) and (4, 324)
Found 3 solutions by Fombitz, KMST, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

.
.
(2,36)

and
(4,324)

So,



So then,




.
.

.
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Let the exponential function be
, with .
We know that


So,
--> --> .
Substituting the value found for into ,
we get --> --> --> .
The function is
.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 decimal places when necessary.)
Through (2, 36) and (4, 324)
Correct exponential-function equation: 

Substituting the coordinates in the above equation, you'll get the values of a and b.

You should get:  

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