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

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


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

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

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

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

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

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.
2glo + -1glo + glox = 1 + 1glo + -1glo + -1glox

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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