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

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


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

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

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

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

Combine like terms: -2glo + 4glo = 2glo
2glo + glox + -1glox = 1 + -1log(13 + -1x)

Combine like terms: glox + -1glox = 0
2glo + 0 = 1 + -1log(13 + -1x)
2glo = 1 + -1log(13 + -1x)
2glo = 1 + (13 * -1glo + -1x * -1glo)
2glo = 1 + (-13glo + 1glox)

Solving
2glo = 1 + -13glo + 1glox

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.
2glo + 13glo = 1 + -13glo + 13glo + 1glox

Combine like terms: 2glo + 13glo = 15glo
15glo = 1 + -13glo + 13glo + 1glox

Combine like terms: -13glo + 13glo = 0
15glo = 1 + 0 + 1glox
15glo = 1 + 1glox

Add '-1glox' to each side of the equation.
15glo + -1glox = 1 + 1glox + -1glox

Combine like terms: 1glox + -1glox = 0
15glo + -1glox = 1 + 0
15glo + -1glox = 1

Reorder the terms:
-1 + 15glo + -1glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 15glo + -1glox = 0

The solution to this equation could not be determined.

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