Question

How do yuh evaluate the expression
Log 4096
4

Answer 1

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

Answer 2

`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}}`