log(x^2+6)-log(x-1)=1

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

Simplifying
log(x2 + 6) + -1log(x + -1) = 1

Reorder the terms:
glo(6 + x2) + -1log(x + -1) = 1
(6 * glo + x2 * glo) + -1log(x + -1) = 1
(6glo + glox2) + -1log(x + -1) = 1

Reorder the terms:
6glo + glox2 + -1glo(-1 + x) = 1
6glo + glox2 + (-1 * -1glo + x * -1glo) = 1
6glo + glox2 + (1glo + -1glox) = 1

Reorder the terms:
6glo + 1glo + -1glox + glox2 = 1

Combine like terms: 6glo + 1glo = 7glo
7glo + -1glox + glox2 = 1

Solving
7glo + -1glox + glox2 = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 7glo + -1glox + glox2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 7glo + -1glox + glox2 = 0

The solution to this equation could not be determined.