Respuesta :

Answer:

4

Step-by-step explanation:

Using the rule of logarithms

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

Given

[tex]log_{3}[/tex] 81 = n, then

81 = [tex]3^{n}[/tex]

Note that 81 = [tex]3^{4}[/tex] , thus

[tex]3^{4}[/tex] = [tex]3^{n}[/tex]

Since the bases are equal then equate the exponents

n = 4

Eduard22sly

The value of log Subscript 3 Baseline 81 (i.e Log₃ 81) obtained is 4

Data obtained from the question

  • Log₃ 81 =?

How to determine the value of Log₃ 81

Let Log₃ 81 be equal to n i.e

Log₃ 81 = n

The value of n can be obtained as follow:

Log₃ 81 = n

81 = 3ⁿ

Express 81 in index form with 3 as the base

3⁴ = 3ⁿ

Cancel out 3

n = 4

From the calculation made above, we can conclude that the value of log Subscript 3 Baseline 81 (i.e Log₃ 81) is 4

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