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{{ printedBook.courseTrack.name }} {{ printedBook.name }} To solve the exponential equation by graphing, we first have to create two functions. Each side of the given equation will become a function. $5=625e_{0.02x}⇒y=5y=625e_{0.02x} $ Now, we want to draw these graphs using a calculator. We can do this by pressing the $Y= $ button and typing the equations in the first two rows.

Before we graph these functions, notice that the coefficient in the second function is $625$ and the exponent of $e$ is $0.02x.$ This means that the function will grow very slowly and the solution will be negative. In order to accommodate these issues, we should change the viewing window.

There is one point of intersection of these graphs. To find this point we can use the intersect

option, which we get by pushing $2nd $ and $TRACE .$ Now, we select both graphs and provide the calculator with a guess as to where the intersection might be.

The solution to the equation is $x≈-241.4.$