Respuesta :
Equivalent equations are equations of equal values
The system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
The logarithmic equation is given as:
[tex]\log_4(x^3) = \log_2(2x)[/tex]
Split the above equation as follows:
[tex]y = \log_4(x^3)[/tex]
[tex]y= \log_2(2x)[/tex]
Rewrite [tex]y = \log_4(x^3)[/tex] as:
[tex]y=3\log_4(x)[/tex]
Hence, the system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
Read more about systems of equations at:
https://brainly.com/question/14265399