4log(x-6)=12

Solution for 4log(x-6)=12 equation:

Simplifying
4log(x + -6) = 12

Reorder the terms:
4glo(-6 + x) = 12
(-6 * 4glo + x * 4glo) = 12
(-24glo + 4glox) = 12

Solving
-24glo + 4glox = 12

Solving for variable 'g'.

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

Reorder the terms:
-12 + -24glo + 4glox = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -24glo + 4glox = 0

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

Ignore the factor 4.
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.