avamb2002 avamb2002
  • 04-03-2021
  • Mathematics
contestada

Evaluate the following expression. log4 256
A. 64
B. 16 C. 4 D. 8

Evaluate the following expression log4 256 A 64 B 16 C 4 D 8 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 04-03-2021

Answer:

C

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

let [tex]log_{4}[/tex] 256 = n , then

256 = [tex]4^{n}[/tex]

256 = [tex]4^{4}[/tex] , so

[tex]4^{4}[/tex] = [tex]4^{n}[/tex] , thus n = 4

That is

[tex]log_{4}[/tex] 256 = 4

Answer Link
rubiconejo89 rubiconejo89
  • 04-03-2021
The correct answer is c.4
Answer Link

Otras preguntas

On May 5, 1868, in his capacity as commander-in-chief of the Grand Army of the Republic, a veterans' organization, he issued a proclamation that "Decoration Day
Factor completely. 6x²+ 3x - 63 A. 3(2x + 7)(x - 3) B. (3x + 9)(2x - 7) C. (6x + 21)(x - 3) D. 3(2x²+ x - 21)
Which sentence is correctly punctuated? A. Sharon Day, the violinist played beautifully tonight. B. Sharon Day the violinist played beautifully tonight. C. Shar
Find three sets of Values for x and y to make x/y=4/32 a proportion. Explain how you found the Values.
identify the pattern of rhyme and meter
Is 4 miles greater than 15,840 feet
Which position was spelled out in the Seneca Falls Declaration of 1848? A. Slavery is evil and must be abolished. B. Women and men are created equal. C. America
Slime moulds (Acrasiomycota) are protoctists. They feed on decaying organic matter, bacteria and protozoa. I. Detritivore II. Autotroph III.
what is the science name for table salt
is Kool-Aid example of a solution