2log(x+6)-1=5

Solution for 2log(x+6)-1=5 equation:

Simplifying
2log(x + 6) + -1 = 5

Reorder the terms:
2glo(6 + x) + -1 = 5
(6 * 2glo + x * 2glo) + -1 = 5
(12glo + 2glox) + -1 = 5

Reorder the terms:
-1 + 12glo + 2glox = 5

Solving
-1 + 12glo + 2glox = 5

Solving for variable 'g'.

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

Add '1' to each side of the equation.
-1 + 12glo + 1 + 2glox = 5 + 1

Reorder the terms:
-1 + 1 + 12glo + 2glox = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 12glo + 2glox = 5 + 1
12glo + 2glox = 5 + 1

Combine like terms: 5 + 1 = 6
12glo + 2glox = 6

Reorder the terms:
-6 + 12glo + 2glox = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 12glo + 2glox = 0

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

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

Simplifying
-3 + 6glo + glox = 0

Solving
-3 + 6glo + glox = 0

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

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

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

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

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

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.