Integrals of power-logarithm combonations

Question

Are there any approximations, or expansions to evaluate integrals of the form: $$\int \frac{(x-K)^{-a}}{\log(x)} dt, \quad a \geq 2.$$ Even for a special case of K $\in \mathbb{N}^+$ for example $K = 1, a = 2$, does there exist a closed form expression or even a method to proceed towards an approximation.