Find the Exponential Function Given a Point (2,16)

Math
To find an exponential function, , containing the point, set in the function to the value of the point, and set to the value of the point.
Solve the equation for .
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Rewrite the equation as .
Take the square root of both sides of the equation to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Substitute each value for back into the function to find each possible exponential function.
Find the Exponential Function Given a Point (2,16)

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