[tex]{ \large{ \implies{ \sf 2 {}^{x} = 64}}}[/tex]
[tex]{ \large{ \implies{ \sf{2 {}^{x} = 2 {}^{6} }}}}[/tex]
[tex]{ \large{ \therefore{ \rm{x = 6 } \: \: \: ans.}}}[/tex]