log(6)(x)-log(6)(1-x)=8

Solution for log(6)(x)-log(6)(1-x)=8 equation:

Simplifying
log(6)(x) + -1log(6)(1 + -1x) = 8

Reorder the terms for easier multiplication:
6glo * x + -1log(6)(1 + -1x) = 8

Multiply glo * x
6glox + -1log(6)(1 + -1x) = 8

Reorder the terms for easier multiplication:
6glox + -1 * 6glo(1 + -1x) = 8

Multiply -1 * 6
6glox + -6glo(1 + -1x) = 8
6glox + (1 * -6glo + -1x * -6glo) = 8
6glox + (-6glo + 6glox) = 8

Reorder the terms:
-6glo + 6glox + 6glox = 8

Combine like terms: 6glox + 6glox = 12glox
-6glo + 12glox = 8

Solving
-6glo + 12glox = 8

Solving for variable 'g'.

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

Reorder the terms:
-8 + -6glo + 12glox = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -6glo + 12glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -3glo + 6glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -3glo + 6glox)' equal to zero and attempt to solve:

Simplifying
-4 + -3glo + 6glox = 0

Solving
-4 + -3glo + 6glox = 0

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

Add '4' to each side of the equation.
-4 + -3glo + 4 + 6glox = 0 + 4

Reorder the terms:
-4 + 4 + -3glo + 6glox = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3glo + 6glox = 0 + 4
-3glo + 6glox = 0 + 4

Combine like terms: 0 + 4 = 4
-3glo + 6glox = 4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.