How do yuh evaluate the expression
Log 4096
4


Sagot :

[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]log_44096=x\\ \\ 4^x=4096\\ \\ 4^x=4^6\\ \\ \boxed{x=6} [/tex]