Find the Exponential Function (7,3)

$(7, 3)$

Step 1

To find an exponential function, $f (x) = a^{x}$ , containing the point, set $f (x)$ in the function to the $y$ value $3$ of the point, and set $x$ to the $x$ value $7$ of the point.

$3 = a^{7}$

Step 2

Solve the equation for $a$ .

Rewrite the equation as $a^{7} = 3$ .

$a^{7} = 3$

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$a = \sqrt[7]{3}$

Step 3

Substitute each value for $a$ back into the function $f (x) = a^{x}$ to find each possible exponential function.

$f (x) = {(\sqrt[7]{3})}^{x}$

Find the Exponential Function (7,3)

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