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

How do yuh evaluate the expression

Log 4096

4

Verified Answer :

D3xt3R
D3xt3R D3xt3R
  • 23-05-2014

\(log_{4}(4096)\)

\(4096=4^{6}\)

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 Link
Ryan2
Ryan2 Ryan2
  • 23-05-2014

\(log_44096=x\\ \\ 4^x=4096\\ \\ 4^x=4^6\\ \\ \boxed{x=6}\)

Answer Link

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