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

Write an equation of the line containing the given point and parallel to given line. Express your answer in the form y=mx+b (6,8); x+5y=2
Reza is ordering pizza and chicken fingers for a birthday party. Each pizza costs $15 and each dozen of chicken fingers costs $10. Reza can spend at most $120,
What is cilia and scourges in biology?
Why was it important that civil service positions were not hereditary? A. so officials would be well-qualified B. so officials would be diverse C. so offici
how many valence electrons does chlorine have ?​
A number divided by 12 is equal to 27
what is 10 times 10. ?
PLEASE HELP ITS A LOT OF POINTS I NEED HELL WITH 1-11
A student reacted NiS2 (MM = 122.83 g/mol) with O2 (MM=32.00 g/mol) to make SO2 (MM=64.07 g/mol) according to this balanced equation 2NiS2+5O2=2NiO+4SO2 If (1.5
How do the four freedoms reflect Americans experience during the 1930's