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

For number 18 what is X
Simplify. (x−3)( x^2−4x−7)
If the discriminant has a value of -28, what can we conclude about the solution(s) to the equation?
What is the exact circumference of a circle with a radius of 15 cm? A: 10π cm B: 15π cm C:30π cm D: 60π cm
There are 11 apples in a basket. 5 of these apples are green. The rest of them are red What is the ratio of green apples to red apples?
What is the pair of alleles an organism possesses called?
Factor completely. 5x^2 - 45
what does vertex mean in math
What is the mass in grams for 9.0 mol lead oxide
What is the slope of the graph of 4x-16y=15. Also can you please show your work trying to better understand