How do yuh evaluate the expression log 4096 4

2 answers
Question:

How do yuh evaluate the expression
log 4096
4

Answers

[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]

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