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Sagot :
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~
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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