Compare the functions $f(x) = x^{8}$ and $g(x) = e^x$ by graphing both $f$ and $g$ on your calculator, using several viewing rectangles. When does the graph of $g$ finally surpass the graph of $f$?
The graphs intersect for the last time at $x \approx$ . (Round your answer to four significant figures.)

Hints: To get this much accuracy you can use the intersect feature of your calculator, or make a very narrow $x$ window. You must round your answer or it will be marked wrong.