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

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

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

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

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

Combine like terms: -4glo + -4glo = -8glo
-8glo + 2glox + 1glox = 1 + -1log(13 + -1x)

Combine like terms: 2glox + 1glox = 3glox
-8glo + 3glox = 1 + -1log(13 + -1x)
-8glo + 3glox = 1 + (13 * -1glo + -1x * -1glo)
-8glo + 3glox = 1 + (-13glo + 1glox)

Solving
-8glo + 3glox = 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.
-8glo + 13glo + 3glox = 1 + -13glo + 13glo + 1glox

Combine like terms: -8glo + 13glo = 5glo
5glo + 3glox = 1 + -13glo + 13glo + 1glox

Combine like terms: -13glo + 13glo = 0
5glo + 3glox = 1 + 0 + 1glox
5glo + 3glox = 1 + 1glox

Add '-1glox' to each side of the equation.
5glo + 3glox + -1glox = 1 + 1glox + -1glox

Combine like terms: 3glox + -1glox = 2glox
5glo + 2glox = 1 + 1glox + -1glox

Combine like terms: 1glox + -1glox = 0
5glo + 2glox = 1 + 0
5glo + 2glox = 1

Reorder the terms:
-1 + 5glo + 2glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 5glo + 2glox = 0

The solution to this equation could not be determined.