log[2](x+7)-log[2](x-8)=4

Solution for log[2](x+7)-log[2](x-8)=4 equation:

Simplifying
log[2](x + 7) + -1log[2](x + -8) = 4

Reorder the terms:
glo * 2(7 + x) + -1log[2](x + -8) = 4

Reorder the terms for easier multiplication:
2glo(7 + x) + -1log[2](x + -8) = 4
(7 * 2glo + x * 2glo) + -1log[2](x + -8) = 4
(14glo + 2glox) + -1log[2](x + -8) = 4

Reorder the terms:
14glo + 2glox + -1glo * 2(-8 + x) = 4

Reorder the terms for easier multiplication:
14glo + 2glox + -1 * 2glo(-8 + x) = 4

Multiply -1 * 2
14glo + 2glox + -2glo(-8 + x) = 4
14glo + 2glox + (-8 * -2glo + x * -2glo) = 4
14glo + 2glox + (16glo + -2glox) = 4

Reorder the terms:
14glo + 16glo + 2glox + -2glox = 4

Combine like terms: 14glo + 16glo = 30glo
30glo + 2glox + -2glox = 4

Combine like terms: 2glox + -2glox = 0
30glo + 0 = 4
30glo = 4

Solving
30glo = 4

Solving for variable 'g'.

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

Divide each side by '30lo'.
g = 0.1333333333l-1o-1

Simplifying
g = 0.1333333333l-1o-1