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

A graph depicts force versus position. What represents the work done by the force over the given displacement? A. The work done is equal to the product of the m
List all integers between -0.6 and 4.17 THANK U
can u tell me how to solve this promblem 4/7 plus 3/7
How would you define psychological realism?
An object with mass 60 kg moved in outer space. When it was at location < 13, -19, -3 > its speed was 3.5 m/s. A single constant force < 220, 320, -120
2-3 facts about Warsaw Pact
If f(x) is 4x-3 what is (f^-1of) (10)
What was the South’s greatest concern when California applied for statehood?
Compute the odds in favor of rolling a sum of 10 in a single roll of two fair dice
A graph depicts force versus position. What represents the work done by the force over the given displacement? A. The work done is equal to the product of the m