log(6)3x+log(6)(x-1)=1

Solution for log(6)3x+log(6)(x-1)=1 equation:

Simplifying
log(6) * 3x + log(6)(x + -1) = 1

Reorder the terms for easier multiplication:
6 * 3glo * x + log(6)(x + -1) = 1

Multiply 6 * 3
18glo * x + log(6)(x + -1) = 1

Multiply glo * x
18glox + log(6)(x + -1) = 1

Reorder the terms:
18glox + glo * 6(-1 + x) = 1

Reorder the terms for easier multiplication:
18glox + 6glo(-1 + x) = 1
18glox + (-1 * 6glo + x * 6glo) = 1
18glox + (-6glo + 6glox) = 1

Reorder the terms:
-6glo + 18glox + 6glox = 1

Combine like terms: 18glox + 6glox = 24glox
-6glo + 24glox = 1

Solving
-6glo + 24glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -6glo + 24glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -6glo + 24glox = 0

The solution to this equation could not be determined.