Exercises: Compare Exponential and Polynomial Growth

Compare $p(x) = x^2$ and $g(x) = 2^x$. At what value of $x$ do they cross for the final time (after which $g > p$ permanently)?

Reference values: $p(2) = 4$, $g(2) = 4$; $p(3) = 9$, $g(3) = 8$; $p(4) = 16$, $g(4) = 16$; $p(5) = 25$, $g(5) = 32$.

Enter the value of $x$ at the last crossing.