log(3)(x+3)-log(3)(x-1)=1

Solution for log(3)(x+3)-log(3)(x-1)=1 equation:

Simplifying
log(3)(x + 3) + -1log(3)(x + -1) = 1

Reorder the terms:
glo * 3(3 + x) + -1log(3)(x + -1) = 1

Reorder the terms for easier multiplication:
3glo(3 + x) + -1log(3)(x + -1) = 1
(3 * 3glo + x * 3glo) + -1log(3)(x + -1) = 1
(9glo + 3glox) + -1log(3)(x + -1) = 1

Reorder the terms:
9glo + 3glox + -1glo * 3(-1 + x) = 1

Reorder the terms for easier multiplication:
9glo + 3glox + -1 * 3glo(-1 + x) = 1

Multiply -1 * 3
9glo + 3glox + -3glo(-1 + x) = 1
9glo + 3glox + (-1 * -3glo + x * -3glo) = 1
9glo + 3glox + (3glo + -3glox) = 1

Reorder the terms:
9glo + 3glo + 3glox + -3glox = 1

Combine like terms: 9glo + 3glo = 12glo
12glo + 3glox + -3glox = 1

Combine like terms: 3glox + -3glox = 0
12glo + 0 = 1
12glo = 1

Solving
12glo = 1

Solving for variable 'g'.

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

Divide each side by '12lo'.
g = 0.08333333333l-1o-1

Simplifying
g = 0.08333333333l-1o-1