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

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


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

Reorder the terms:
goL(-1 + x) + -1 = -1log(x + 2)
(-1 * goL + x * goL) + -1 = -1log(x + 2)
(-1goL + goxL) + -1 = -1log(x + 2)

Reorder the terms:
-1 + -1goL + goxL = -1log(x + 2)

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

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

Solving for variable 'g'.

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

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

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

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

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

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

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

Add '1' to each side of the equation.
-1 + 2glo + glox + -1goL + 1 + goxL = 0 + 1

Reorder the terms:
-1 + 1 + 2glo + glox + -1goL + goxL = 0 + 1

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

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

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

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

The solution to this equation could not be determined.

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