Respuesta :

Answer:

2

Step-by-step explanation:

Using the rule of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

let [tex]log_{8}[/tex] 64 = n, then

64 = [tex]8^{n}[/tex]

note that 64 = 8², thus

8² = [tex]8^{n}[/tex] ⇒ n = 2

The value of the given expression i.e. [tex]Log_864[/tex] is 2.

Given that,

  • The given expression is [tex]Log_864[/tex].
  • We need to evaluate it.

Based on the above information, the calculation is as follows:

Let us assume [tex]Log_864[/tex] be n

So,

[tex]64= 8^n\\\\8^2 = 8^n[/tex]

n = 2

Therefore we can conclude that the value of the given expression i.e. [tex]Log_864[/tex] is 2.

Learn more: brainly.com/question/15673235

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