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Answer :

LostCottenCandygo

Given

  • [tex] \sf \: 512 = 8³[/tex]

Compare with y = ax we get

  • y = 512 , a = 8 , x = 3

Now, Logarithmic Form Is

  • [tex] \sf \: x = log \: \: \bold{ay }[/tex]

[tex] \: \: \: [/tex]

  • [tex] \sf \:3 = log_{8}(512) [/tex]

[tex] \: \: \: [/tex]

  • [tex] \sf \: i.e = \boxed{ \sf log_{8}(512) = 3} [/tex]

Hope Helps~

Lhmarianateixeirago

In this exercise we will use the knowledge of equation of the line plus the knowledge of logarithm, like this:

[tex]3=log_8 (512)[/tex]

First, we have the following values ​​informed, such as:

  • y = 512
  • a = 8
  • x = 3

Knowing that the formula for the equation of the line is given by:

[tex]y = ax \\512=8*3[/tex]

The logarithm form will be:

[tex]x=log_ay\\3=log_8 (512)[/tex]

See more about logarithm at brainly.com/question/7302008

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