Toria21
Toria21 Toria21
  • 22-05-2014
  • Mathematics
Answered

How do yuh evaluate the expression
Log 4096
4

Answer :

D3xt3R
D3xt3R D3xt3R
  • 23-05-2014
[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]
Answer Link
Ryan2
Ryan2 Ryan2
  • 23-05-2014
[tex]log_44096=x\\ \\ 4^x=4096\\ \\ 4^x=4^6\\ \\ \boxed{x=6} [/tex]
Answer Link

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