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

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


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

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

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

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

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

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

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

Reorder the terms:
-12glo + 24glox + 12glox = 1

Combine like terms: 24glox + 12glox = 36glox
-12glo + 36glox = 1

Solving
-12glo + 36glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -12glo + 36glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -12glo + 36glox = 0

The solution to this equation could not be determined.

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