IDNLearn.com: Your trusted platform for finding reliable answers. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.

Write The Following results into Their Equivalent logarithm form :
• ( 8 )³ = 512

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


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