log(x-1)-log(x-8)=3

Solution for log(x-1)-log(x-8)=3 equation:

Simplifying
log(x + -1) + -1log(x + -8) = 3

Reorder the terms:
glo(-1 + x) + -1log(x + -8) = 3
(-1 * glo + x * glo) + -1log(x + -8) = 3
(-1glo + glox) + -1log(x + -8) = 3

Reorder the terms:
-1glo + glox + -1glo(-8 + x) = 3
-1glo + glox + (-8 * -1glo + x * -1glo) = 3
-1glo + glox + (8glo + -1glox) = 3

Reorder the terms:
-1glo + 8glo + glox + -1glox = 3

Combine like terms: -1glo + 8glo = 7glo
7glo + glox + -1glox = 3

Combine like terms: glox + -1glox = 0
7glo + 0 = 3
7glo = 3

Solving
7glo = 3

Solving for variable 'g'.

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

Divide each side by '7lo'.
g = 0.4285714286l-1o-1

Simplifying
g = 0.4285714286l-1o-1