3log(x-1)-log(x+1)=log(x^2-2x+1)+1

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Solution for 3log(x-1)-log(x+1)=log(x^2-2x+1)+1 equation: 


Simplifying
3log(x + -1) + -1log(x + 1) = log(x2 + -2x + 1) + 1

Reorder the terms:
3glo(-1 + x) + -1log(x + 1) = log(x2 + -2x + 1) + 1
(-1 * 3glo + x * 3glo) + -1log(x + 1) = log(x2 + -2x + 1) + 1
(-3glo + 3glox) + -1log(x + 1) = log(x2 + -2x + 1) + 1

Reorder the terms:
-3glo + 3glox + -1glo(1 + x) = log(x2 + -2x + 1) + 1
-3glo + 3glox + (1 * -1glo + x * -1glo) = log(x2 + -2x + 1) + 1
-3glo + 3glox + (-1glo + -1glox) = log(x2 + -2x + 1) + 1

Reorder the terms:
-3glo + -1glo + 3glox + -1glox = log(x2 + -2x + 1) + 1

Combine like terms: -3glo + -1glo = -4glo
-4glo + 3glox + -1glox = log(x2 + -2x + 1) + 1

Combine like terms: 3glox + -1glox = 2glox
-4glo + 2glox = log(x2 + -2x + 1) + 1

Reorder the terms:
-4glo + 2glox = glo(1 + -2x + x2) + 1
-4glo + 2glox = (1 * glo + -2x * glo + x2 * glo) + 1
-4glo + 2glox = (1glo + -2glox + glox2) + 1

Reorder the terms:
-4glo + 2glox = 1 + 1glo + -2glox + glox2

Solving
-4glo + 2glox = 1 + 1glo + -2glox + glox2

Solving for variable 'g'.

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

Add '-1glo' to each side of the equation.
-4glo + -1glo + 2glox = 1 + 1glo + -2glox + -1glo + glox2

Combine like terms: -4glo + -1glo = -5glo
-5glo + 2glox = 1 + 1glo + -2glox + -1glo + glox2

Reorder the terms:
-5glo + 2glox = 1 + 1glo + -1glo + -2glox + glox2

Combine like terms: 1glo + -1glo = 0
-5glo + 2glox = 1 + 0 + -2glox + glox2
-5glo + 2glox = 1 + -2glox + glox2

Add '2glox' to each side of the equation.
-5glo + 2glox + 2glox = 1 + -2glox + 2glox + glox2

Combine like terms: 2glox + 2glox = 4glox
-5glo + 4glox = 1 + -2glox + 2glox + glox2

Combine like terms: -2glox + 2glox = 0
-5glo + 4glox = 1 + 0 + glox2
-5glo + 4glox = 1 + glox2

Add '-1glox2' to each side of the equation.
-5glo + 4glox + -1glox2 = 1 + glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
-5glo + 4glox + -1glox2 = 1 + 0
-5glo + 4glox + -1glox2 = 1

Reorder the terms:
-1 + -5glo + 4glox + -1glox2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -5glo + 4glox + -1glox2 = 0

The solution to this equation could not be determined.

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