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{{ printedBook.courseTrack.name }} {{ printedBook.name }} To solve the equation by graphing, we first have to create two functions. Each side of the given equation will become its own equation. $4_{7x}=250⇒y=4_{7x}y=250 $ 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 two first rows.

Before we graph these functions, notice that the second function is a horizontal line at $y=250,$ so we will not be able to see this in the standard viewing window. Also, the exponent of $4$ is $7x,$ so the function will grow very quickly. In order to accommodate these issues, we should change the viewing window. Let's restrict the $x-$axis. $-1<x<1 $ Also, we can change the scale of the $y-$axis to increase by $50.$ We can do this by pushing $WINDOW .$

There is one point of intersection of these lines. 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 $x≈0.5690.$