log(1-2x)-log(x-1)=1

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Solution for log(1-2x)-log(x-1)=1 equation: 


Simplifying
log(1 + -2x) + -1log(x + -1) = 1
(1 * glo + -2x * glo) + -1log(x + -1) = 1
(1glo + -2glox) + -1log(x + -1) = 1

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

Reorder the terms:
1glo + 1glo + -2glox + -1glox = 1

Combine like terms: 1glo + 1glo = 2glo
2glo + -2glox + -1glox = 1

Combine like terms: -2glox + -1glox = -3glox
2glo + -3glox = 1

Solving
2glo + -3glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 2glo + -3glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 2glo + -3glox = 0

The solution to this equation could not be determined.

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