Question

Given the table values, Determine the base for the expoent function

Answer 1

To determine the value of the exponential function:

$y=a^x$

we use the first values from the table and plug them in the expression for the function:

$\begin{gathered} \frac{1}{81}=a^{-\frac{1}{2}} \\ \frac{1}{a^2}=\frac{1}{81} \\ a^2=81 \\ a=\sqrt[]{81} \\ a=9 \end{gathered}$

Therefore the base of the exponent function is 9