Respuesta :
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]
