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

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


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

Reorder the terms:
glo(-2x + x2) = log(3x)
(-2x * glo + x2 * glo) = log(3x)
(-2glox + glox2) = log(3x)

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

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

Multiply glo * x
-2glox + glox2 = 3glox

Solving
-2glox + glox2 = 3glox

Solving for variable 'g'.

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

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

Combine like terms: -2glox + -3glox = -5glox
-5glox + glox2 = 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
-5glox + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glox'.
glox(-5 + x) = 0


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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Add '-1x' to each side of the equation.
x + -1x = 5 + -1x

Combine like terms: x + -1x = 0
0 = 5 + -1x

Simplifying
0 = 5 + -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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