Respuesta :

The answer is x^2=36

Answer:

Given the equation: [tex]\log_x 36 = 2[/tex]

Using the logarithmic rules;

[tex]\log _b x = a[/tex] then

[tex]x = b^a[/tex]

[tex]\log_x 36 = 2[/tex]

Apply the logarithmic rules, we have;

[tex]36 = x^2[/tex]

or

[tex]x^2 = 36[/tex]

or

⇒[tex]x = 6[/tex]

Therefore, the equation which is equivalent to [tex]\log_x 36 = 2[/tex] is, [tex]x^2 = 36[/tex] or [tex]x = 6[/tex]