3log(x+6)-4=5

Solution for 3log(x+6)-4=5 equation:

Simplifying
3log(x + 6) + -4 = 5

Reorder the terms:
3glo(6 + x) + -4 = 5
(6 * 3glo + x * 3glo) + -4 = 5
(18glo + 3glox) + -4 = 5

Reorder the terms:
-4 + 18glo + 3glox = 5

Solving
-4 + 18glo + 3glox = 5

Solving for variable 'g'.

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

Add '4' to each side of the equation.
-4 + 18glo + 4 + 3glox = 5 + 4

Reorder the terms:
-4 + 4 + 18glo + 3glox = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 18glo + 3glox = 5 + 4
18glo + 3glox = 5 + 4

Combine like terms: 5 + 4 = 9
18glo + 3glox = 9

Reorder the terms:
-9 + 18glo + 3glox = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 18glo + 3glox = 0

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

Ignore the factor 3.
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.