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

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


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

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

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

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

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

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

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

Solving
-1goL + goxL = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'goL'.
goL(-1 + x) = 0

Subproblem 1

Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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