og(x-2)-log(4-x)=1-log(13-x)

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Solution for og(x-2)-log(4-x)=1-log(13-x) equation: 


Simplifying
og(x + -2) + -1log(4 + -1x) = 1 + -1log(13 + -1x)

Reorder the terms:
go(-2 + x) + -1log(4 + -1x) = 1 + -1log(13 + -1x)
(-2 * go + x * go) + -1log(4 + -1x) = 1 + -1log(13 + -1x)
(-2go + gox) + -1log(4 + -1x) = 1 + -1log(13 + -1x)
-2go + gox + (4 * -1glo + -1x * -1glo) = 1 + -1log(13 + -1x)
-2go + gox + (-4glo + 1glox) = 1 + -1log(13 + -1x)

Reorder the terms:
-4glo + 1glox + -2go + gox = 1 + -1log(13 + -1x)
-4glo + 1glox + -2go + gox = 1 + (13 * -1glo + -1x * -1glo)
-4glo + 1glox + -2go + gox = 1 + (-13glo + 1glox)

Add '-1glox' to each side of the equation.
-4glo + 1glox + -2go + -1glox + gox = 1 + -13glo + 1glox + -1glox

Reorder the terms:
-4glo + 1glox + -1glox + -2go + gox = 1 + -13glo + 1glox + -1glox

Combine like terms: 1glox + -1glox = 0
-4glo + 0 + -2go + gox = 1 + -13glo + 1glox + -1glox
-4glo + -2go + gox = 1 + -13glo + 1glox + -1glox

Combine like terms: 1glox + -1glox = 0
-4glo + -2go + gox = 1 + -13glo + 0
-4glo + -2go + gox = 1 + -13glo

Solving
-4glo + -2go + gox = 1 + -13glo

Solving for variable 'g'.

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

Add '13glo' to each side of the equation.
-4glo + -2go + 13glo + gox = 1 + -13glo + 13glo

Reorder the terms:
-4glo + 13glo + -2go + gox = 1 + -13glo + 13glo

Combine like terms: -4glo + 13glo = 9glo
9glo + -2go + gox = 1 + -13glo + 13glo

Combine like terms: -13glo + 13glo = 0
9glo + -2go + gox = 1 + 0
9glo + -2go + gox = 1

Reorder the terms:
-1 + 9glo + -2go + gox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 9glo + -2go + gox = 0

The solution to this equation could not be determined.

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