How do you evaluate the expression:
\[
\log_{4} 4096
\]
Answer (3)
l o g 4 ( 4096 )
4096 = 4 6
let's replace it
l o g 4 ( 4 6 )
Them
l o g 4 ( 4 6 ) = 6 l o g 4 ( 4 )
l o g 4 ( 4 ) = 1
l o g 4 ( 4096 ) = 6
[log_44096=x\ \ 4^x=4096\ \ 4^x=4^6\ \ \boxed{x=6}
]
To evaluate lo g 4 4096 , we recognize that 4096 equals 4 6 . Using logarithmic properties, we find that lo g 4 ( 4096 ) = 6 . Therefore, the answer is 6.
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