Hello, please help me understand how to find the big O notation. I appreciate your help.

What is the big-O notation of the following function? - f(n)=log(n)+log(log(n))2 - f(n)=log(n2)+log(n)3 - f(n)=nlog(n)+nlog(log(n)) - f(n)=log(n!)+log(n2)2 - f(n)=log(n!)+log(log(n!)3) - f(n)=log(n3)+log(log(n2)) - f(n)=log(n2)+log(n1/3)2 - f(n)=log(n2)+log(log(n3))3 - f(n)=log(n!)+log(n2)+log(log(n2))2 - f(n)=log(n2)+log(n!)+log(log(n3))3