logx^2=3logy

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Solution for logx^2=3logy equation:


Simplifying
logx2 = 3logy

Solving
glox2 = 3gloy

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-3gloy' to each side of the equation.
glox2 + -3gloy = 3gloy + -3gloy

Combine like terms: 3gloy + -3gloy = 0
glox2 + -3gloy = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(x2 + -3y) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(x2 + -3y)' equal to zero and attempt to solve: Simplifying x2 + -3y = 0 Solving x2 + -3y = 0 Move all terms containing g to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + -3y = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -3y = 0 + -1x2 -3y = 0 + -1x2 Remove the zero: -3y = -1x2 Add '3y' to each side of the equation. -3y + 3y = -1x2 + 3y Combine like terms: -3y + 3y = 0 0 = -1x2 + 3y Simplifying 0 = -1x2 + 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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