log(w+6)-log(w-2)=1

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Solution for log(w+6)-log(w-2)=1 equation: 


Simplifying
log(w + 6) + -1log(w + -2) = 1

Reorder the terms:
glo(6 + w) + -1log(w + -2) = 1
(6 * glo + w * glo) + -1log(w + -2) = 1
(6glo + glow) + -1log(w + -2) = 1

Reorder the terms:
6glo + glow + -1glo(-2 + w) = 1
6glo + glow + (-2 * -1glo + w * -1glo) = 1
6glo + glow + (2glo + -1glow) = 1

Reorder the terms:
6glo + 2glo + glow + -1glow = 1

Combine like terms: 6glo + 2glo = 8glo
8glo + glow + -1glow = 1

Combine like terms: glow + -1glow = 0
8glo + 0 = 1
8glo = 1

Solving
8glo = 1

Solving for variable 'g'.

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

Divide each side by '8lo'.
g = 0.125l-1o-1

Simplifying
g = 0.125l-1o-1

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