Mathematics: Evaluate the following expression. log8 64

Evaluate the following expression. log8 64

naniicapri3

16.01.2022

The value of the given expression i.e. Log_864 is 2.

Given that,

The given expression is Log_864

.We need to evaluate it.

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

Let us assume Log_864 be n

So,

$64= 8^n\\\\8^2 = 8^n$

n = 2

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

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izzy0627

16.01.2022

Step-by-step explanation:

Using the rule of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$

let $log_{8}$ 64 = n, then

64 = $8^{n}$

note that 64 = 8², thus

8² = $8^{n}$ ⇒ n = 2

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johanperezpere51

19.01.2021

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Step-by-step explanation:

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