Use an $\displaystyle \epsilon - \delta$ proof to show that $\displaystyle \lim_{(x,y) \to (0,0)} (y-x)\log_e(x^2+y^2) = 0$

So we need to prove that if $\displaystyle 0 < \sqrt{x^2+y^2} < \delta$ then $\displaystyle |(y-x)\log_e(x^2+y^2)| < \epsilon$

However I do not know where to go from here, I can not seem to manipulate the $\displaystyle x^2+y^2$ and relate it with $\displaystyle \log_e(x^2+y^2)$ with any inequalities.

Thank you all!