Question

How do yuh evaluate the expression Log 4096 4

Answer 1

$log_{4}(4096)$

$4096=4^{6}$

let's replace it

$log_{4}(4^6)$

Them

$log_4(4^6)=6log_{4}(4)$

$log_4(4)=1$

$\boxed{\boxed{log_4(4096)=6}}$

Answer 2

$log_44096=x\\ \\ 4^x=4096\\ \\ 4^x=4^6\\ \\ \boxed{x=6}$