I'm trying to solve the following recurrence relation
$$T(n)\le T\left(\frac{3n}{4}\right)+T\left(\frac{n}{\log n}\right)+C\cdot{n}\log\log n$$
The answer should be $T(n)=\Theta(n \log\log n)$ and I can show it by induction, but how should one guess that this is the form of answer?