Compare the functions f(x) = x5 and g(x) = 5x by graphing both functions in several viewing rectangles.There should be a smaller x value and...

You can see a graph of the two functions
here:

href="http://www.wolframalpha.com/input/?i=x%5E5+%3D+5%5E+x+">http://www.wolframalpha.com/input/?i=x^5+%3D+5^+x+

href="http://www.wolframalpha.com/input/?i=x%5E5+%3D+5%5E+x+"/>As you can see, the
primary difference is that the latter grows exponentially, while the former grows in
polynomial time.

It should also be apparent that there are
two points of intersection.

Those points are found by
solving the equation,

x^5 =
5^x

Looking at this equation, what happens if you
substitute x = 5 ?

So, your two points of intersection
are:

(1.8,17.1) , (5, 5^5)