Toria21
Toria21 Toria21
  • 23-05-2014
  • Mathematics
contestada

How do yuh evaluate the expression
Log 4096
4

Respuesta :

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

Otras preguntas

North and South Korea are divided by a demilitarized zone located at the _____ Parallel. 30th 38th 40th 45th
jake made a pedigree to trace the traits of straight and curly hair in his family. A shaded circle or square in Jake's pedigree represents a person with straigh
What is the length of the rectangular prism if it has a width of 13 meters, a height of 17 meters, and a volume of 2,873 cubic meters?
What is 1 5/10 in minutes? How do you convert it?
How many particles are in a sample of KNO3?
In these lines from “Elegy Written in a Country Churchyard,” which aspects are rooted in the period in which the poem was written, and which would apply to life
Hom do the increase in the duties on alcohol and tobacco affect the rich
During the Civil War, in which resource areas did the Union hold 71 percent of the total resources? Cotton and prewar exports Food crops and prewar exports H
According to Churchill what is at stake in the battle against Germany?
In the long run, imports will most likely be paid for with