# How do I find the equation of an exponential function that passes through the point (4,2)?

Consider the exponential equation $y = {a}^{x}$, where a is a constant coefficient.
If the graph passes through the point $\left(4 , 2\right)$, then the following relation applies: $2 = {a}^{4}$ $\implies$ $a = \sqrt[4]{2}$
So, our exponential function is $y = {\left(\sqrt[4]{2}\right)}^{x}$