Solving using the master theorem: T(n)=T(n/2)+n⋅log n and T(n)=T(n/8)+2.n
Let me show you how to solve these without using the master theorem. For the first item:

$$
T(n) = n\log n + \frac{n}{2} \log \frac{n}{2} + \frac{n}{4} \log \frac{n}{4} + \cdots \leq \left(n + \frac{n}{2} + \frac{n}{4} + \cdots\right) \log n \leq 2n\log n.
$$
This shows that $T(n) = O(n\log n)$. Since clearly $T(n) = \Omega(n\log n)$, we can conclude that $T(n) = \Theta(n \log n)$.

The second item can be solved in the same way.