6+6log(x+2)=12

Solution for 6+6log(x+2)=12 equation:

Simplifying
6 + 6log(x + 2) = 12

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

Solving
6 + 12glo + 6glox = 12

Solving for variable 'g'.

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

Add '-6' to each side of the equation.
6 + 12glo + -6 + 6glox = 12 + -6

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

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

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

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

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

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

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

Simplifying
-1 + 2glo + glox = 0

Solving
-1 + 2glo + glox = 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 + glox = 0 + 1

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

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

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