SOLUTION: Find the exponential function f(x)=a^x whose graph goes through the point (2,1/16). Solve for a.

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Question 1148431: Find the exponential function
f(x)=a^x
whose graph goes through the point
(2,1/16). Solve for a.

Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.

From the given part,


 = . 


It gives the ANSWER  a =  = .


Notice that the base of the exponential function must be positive real number;

therefore, of the two values of   = +/-   I chose the positive value in my answer.

Solved.


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