log[12](2x)+log[12](x-1)=2

Solution for log[12](2x)+log[12](x-1)=2 equation:

Simplifying
log[12](2x) + log[12](x + -1) = 2

Remove parenthesis around (2x)
glo * 12 * 2x + log[12](x + -1) = 2

Reorder the terms for easier multiplication:
12 * 2glo * x + log[12](x + -1) = 2

Multiply 12 * 2
24glo * x + log[12](x + -1) = 2

Multiply glo * x
24glox + log[12](x + -1) = 2

Reorder the terms:
24glox + glo * 12(-1 + x) = 2

Reorder the terms for easier multiplication:
24glox + 12glo(-1 + x) = 2
24glox + (-1 * 12glo + x * 12glo) = 2
24glox + (-12glo + 12glox) = 2

Reorder the terms:
-12glo + 24glox + 12glox = 2

Combine like terms: 24glox + 12glox = 36glox
-12glo + 36glox = 2

Solving
-12glo + 36glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -12glo + 36glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -12glo + 36glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -6glo + 18glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -6glo + 18glox)' equal to zero and attempt to solve:

Simplifying
-1 + -6glo + 18glox = 0

Solving
-1 + -6glo + 18glox = 0

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

Add '1' to each side of the equation.
-1 + -6glo + 1 + 18glox = 0 + 1

Reorder the terms:
-1 + 1 + -6glo + 18glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6glo + 18glox = 0 + 1
-6glo + 18glox = 0 + 1

Combine like terms: 0 + 1 = 1
-6glo + 18glox = 1

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.