Answer :
[tex]log_{4}(4096)[/tex]
[tex]4096=4^{6}[/tex]
let's replace it
[tex]log_{4}(4^6)[/tex]
Them
[tex]log_4(4^6)=6log_{4}(4)[/tex]
[tex]log_4(4)=1[/tex]
[tex]\boxed{\boxed{log_4(4096)=6}}[/tex]
[tex]4096=4^{6}[/tex]
let's replace it
[tex]log_{4}(4^6)[/tex]
Them
[tex]log_4(4^6)=6log_{4}(4)[/tex]
[tex]log_4(4)=1[/tex]
[tex]\boxed{\boxed{log_4(4096)=6}}[/tex]