TMUA 2021 Paper 2 Question 17

Consider the following functions defined for $x>1$: $$f(x)={\log }_2\left({\log }_2\sqrt{x}\right),$$ $$g(x)={\log }_2\left(\sqrt{{\log }_{2}x}\right).$$ Which one of the following is true for all values of $x>1$?