I need your help in following problem
Using the definition of $O$ symbolism, show that given two functions $f(n)$ and $g(n)$ that $g(n)\geq2$ is true $f(n)=Ο(g(n))$, then it would also be true that $\log{f(n)}=Ο(\log{g(n)})$. The $g(n)\geq2$ fact, means that $\log{g(n)}\geq1$. Is this true if we don’t have as a fact that $g(n)\geq2$?
Thanks for your help