Solve for n. With explanation and workings

[tex] \sqrt[n]{n} = \sqrt[4]{2} \\ {n}^{4} = {2}^{n} ( \: change \: to \: square \: from \: root) \\ {2}^{4} = {2}^{4}\:[ this \: only \: answer \: can \: formed] \\ [/tex]