An example of a function with following asymptotes

Question

I am looking for a function which behaves in the following way: $$f(x)\approx x^{-7/3}\text{ at x>3}$$ and $$f(x)\approx x^{-4/3}\text{ at x<1}$$ I want to get a log-log plot of the function so that the two asymptotes are linear. I want a smooth curvy connection between $x=1$ and $x=3$. Any ideas on what kind of function will do that?