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

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

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

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

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

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

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

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

Solving
2glo = 1

Solving for variable 'g'.

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

Divide each side by '2lo'.
g = 0.5l-1o-1

Simplifying
g = 0.5l-1o-1