log(2)(6x+6)=6

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

Simplifying
log(2)(6x + 6) = 6

Reorder the terms:
glo * 2(6 + 6x) = 6

Reorder the terms for easier multiplication:
2glo(6 + 6x) = 6
(6 * 2glo + 6x * 2glo) = 6
(12glo + 12glox) = 6

Solving
12glo + 12glox = 6

Solving for variable 'g'.

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

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

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

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + 2glo + 2glox) = 0

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

Simplifying
-1 + 2glo + 2glox = 0

Solving
-1 + 2glo + 2glox = 0

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

Add '1' to each side of the equation.
-1 + 2glo + 1 + 2glox = 0 + 1

Reorder the terms:
-1 + 1 + 2glo + 2glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2glo + 2glox = 0 + 1
2glo + 2glox = 0 + 1

Combine like terms: 0 + 1 = 1
2glo + 2glox = 1

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.