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

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


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

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

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

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

Combine like terms: -2glo + 1glo = -1glo
-1glo + 2glox + -1glox = log(x)

Combine like terms: 2glox + -1glox = 1glox
-1glo + 1glox = log(x)

Multiply glo * x
-1glo + 1glox = glox

Solving
-1glo + 1glox = glox

Solving for variable 'g'.

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

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

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

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

Divide each side by '-1'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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