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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=

Sagot :

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
The correct answer is c.4
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