Log(3-2x)=log(x^2)

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Solution for Log(3-2x)=log(x^2) equation:


Simplifying
Log(3 + -2x) = log(x2)
(3 * goL + -2x * goL) = log(x2)
(3goL + -2goxL) = log(x2)

Multiply glo * x2
3goL + -2goxL = glox2

Solving
3goL + -2goxL = glox2

Solving for variable 'g'.

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

Add '-1glox2' to each side of the equation.
3goL + -1glox2 + -2goxL = glox2 + -1glox2

Reorder the terms:
-1glox2 + 3goL + -2goxL = glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
-1glox2 + 3goL + -2goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-1lx2 + 3L + -2xL) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-1lx2 + 3L + -2xL)' equal to zero and attempt to solve: Simplifying -1lx2 + 3L + -2xL = 0 Reorder the terms: 3L + -1lx2 + -2xL = 0 Solving 3L + -1lx2 + -2xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -1lx2 + -3L + -2xL = 0 + -3L Reorder the terms: 3L + -3L + -1lx2 + -2xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -1lx2 + -2xL = 0 + -3L -1lx2 + -2xL = 0 + -3L Remove the zero: -1lx2 + -2xL = -3L Add 'lx2' to each side of the equation. -1lx2 + lx2 + -2xL = -3L + lx2 Combine like terms: -1lx2 + lx2 = 0 0 + -2xL = -3L + lx2 -2xL = -3L + lx2 Add '2xL' to each side of the equation. -2xL + 2xL = -3L + lx2 + 2xL Combine like terms: -2xL + 2xL = 0 0 = -3L + lx2 + 2xL Simplifying 0 = -3L + lx2 + 2xL 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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