3log(x^2)-2log(x)=log(4x^2)

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Solution for 3log(x^2)-2log(x)=log(4x^2) equation:


Simplifying
3log(x2) + -2log(x) = log(4x2)

Multiply glo * x2
3glox2 + -2log(x) = log(4x2)

Multiply glo * x
3glox2 + -2glox = log(4x2)

Reorder the terms:
-2glox + 3glox2 = log(4x2)

Remove parenthesis around (4x2)
-2glox + 3glox2 = glo * 4x2

Reorder the terms for easier multiplication:
-2glox + 3glox2 = 4glo * x2

Multiply glo * x2
-2glox + 3glox2 = 4glox2

Solving
-2glox + 3glox2 = 4glox2

Solving for variable 'g'.

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

Add '-4glox2' to each side of the equation.
-2glox + 3glox2 + -4glox2 = 4glox2 + -4glox2

Combine like terms: 3glox2 + -4glox2 = -1glox2
-2glox + -1glox2 = 4glox2 + -4glox2

Combine like terms: 4glox2 + -4glox2 = 0
-2glox + -1glox2 = 0

Factor out the Greatest Common Factor (GCF), '-1glox'.
-1glox(2 + x) = 0

Ignore the factor -1.

Subproblem 1

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