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

Music that incorporates native folk songs, stories and history is called:
A cable company uses the function f(h)=30h+60 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(h)=150
How did mendelssohn seek to influence jewish religious thought in his time?
A line passes through the points (8, –1) and (–4, 2). What is the y-intercept of this line?
Why are there so many blood vessels under the frog skin?
Anna plans a business model to compete with two video stores, where she hopes to draw in customers from one store but not lose money on the deal. Movie Mania ch
Write the equation 6x + 2y = 4 in slope-intercept form.
What is the solution of the matrix equation
The abbreviation of the nucleic acid that codes for the proper sequence of amino acids in proteins is _____. RNA DNA tRNA mRNA
0001 0000 1100 0011 (unsigned, that is, interpreted as b2u)i.8 bit truncated value:ii.does the value change when truncated to 8 bits?iii.how did you decide?d.11