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

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


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

Reorder the terms:
3glo(-3 + x) = 2log(x2)
(-3 * 3glo + x * 3glo) = 2log(x2)
(-9glo + 3glox) = 2log(x2)

Multiply glo * x2
-9glo + 3glox = 2glox2

Solving
-9glo + 3glox = 2glox2

Solving for variable 'g'.

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

Add '-2glox2' to each side of the equation.
-9glo + 3glox + -2glox2 = 2glox2 + -2glox2

Combine like terms: 2glox2 + -2glox2 = 0
-9glo + 3glox + -2glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-9 + 3x + -2x2) = 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 '(-9 + 3x + -2x2)' equal to zero and attempt to solve:

Simplifying
-9 + 3x + -2x2 = 0

Solving
-9 + 3x + -2x2 = 0

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

Add '9' to each side of the equation.
-9 + 3x + 9 + -2x2 = 0 + 9

Reorder the terms:
-9 + 9 + 3x + -2x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 3x + -2x2 = 0 + 9
3x + -2x2 = 0 + 9

Combine like terms: 0 + 9 = 9
3x + -2x2 = 9

Add '-3x' to each side of the equation.
3x + -3x + -2x2 = 9 + -3x

Combine like terms: 3x + -3x = 0
0 + -2x2 = 9 + -3x
-2x2 = 9 + -3x

Add '2x2' to each side of the equation.
-2x2 + 2x2 = 9 + -3x + 2x2

Combine like terms: -2x2 + 2x2 = 0
0 = 9 + -3x + 2x2

Simplifying
0 = 9 + -3x + 2x2

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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