You are given functions f and g such that f(n)=Ω(g(n)). Is log(f(n)^c)=Ω(log(g(n)))? (Here c is some positive constant.) You should assume that f and g are non-decreasing and always bigger than 1.

This a question in my algorithm course and i cant figure out if it's true or false or depending on the constant or depending on the functions f and g