Log(x^2)=2logx

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Solution for Log(x^2)=2logx equation:


Simplifying
Log(x2) = 2logx

Multiply goL * x2
gox2L = 2logx

Solving
gox2L = 2glox

Solving for variable 'g'.

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

Add '-2glox' to each side of the equation.
-2glox + gox2L = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-2glox + gox2L = 0

Factor out the Greatest Common Factor (GCF), 'gox'.
gox(-2l + xL) = 0

Subproblem 1

Set the factor 'gox' equal to zero and attempt to solve: Simplifying gox = 0 Solving gox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gox = 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 '(-2l + xL)' equal to zero and attempt to solve: Simplifying -2l + xL = 0 Solving -2l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '2l' to each side of the equation. -2l + 2l + xL = 0 + 2l Combine like terms: -2l + 2l = 0 0 + xL = 0 + 2l xL = 0 + 2l Remove the zero: xL = 2l Add '-1xL' to each side of the equation. xL + -1xL = 2l + -1xL Combine like terms: xL + -1xL = 0 0 = 2l + -1xL Simplifying 0 = 2l + -1xL 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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