Respuesta :

Answer:

X= 2

x= -2

Step-by-step explanation:

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The potential solutions of the equations are x = -2 and x = 2

What are equation solutions?

Equation solutions are the true values of an equation

The logarithmic equation is given as:

[tex]2\log_5x = \log_54[/tex]

Apply the power property of logarithms

[tex]\log_5x^2 = \log_54[/tex]

By comparison, we have:

[tex]x^2 = 4[/tex]

Take the square roots of both sides

[tex]x = \pm 2[/tex]

Hence, the potential solutions of the equations are x = -2 and x = 2

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