Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can represent the equation? y 1 = StartFraction log (x 3) Over log 4 EndFraction, y 2 = StartFraction log (2 x) Over log 2 EndFraction y 1 = StartFraction log x 3 Over log 4 EndFraction, y 2 = StartFraction log 2 x Over log 2 EndFraction y 1 = StartFraction log 4 Over log 2 EndFraction, y 2 = StartFraction log (x 3) Over log (2 x) EndFraction y 1 = StartFraction log x 3 Over 4 EndFraction, y 2 = StartFraction log 2 x Over 2 EndFraction.

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:

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Answer:

b

Step-by-step explanation: