log[2](x-5)+log[2](x-11)=4

Solution for log[2](x-5)+log[2](x-11)=4 equation:

Simplifying
log[2](x + -5) + log[2](x + -11) = 4

Reorder the terms:
glo * 2(-5 + x) + log[2](x + -11) = 4

Reorder the terms for easier multiplication:
2glo(-5 + x) + log[2](x + -11) = 4
(-5 * 2glo + x * 2glo) + log[2](x + -11) = 4
(-10glo + 2glox) + log[2](x + -11) = 4

Reorder the terms:
-10glo + 2glox + glo * 2(-11 + x) = 4

Reorder the terms for easier multiplication:
-10glo + 2glox + 2glo(-11 + x) = 4
-10glo + 2glox + (-11 * 2glo + x * 2glo) = 4
-10glo + 2glox + (-22glo + 2glox) = 4

Reorder the terms:
-10glo + -22glo + 2glox + 2glox = 4

Combine like terms: -10glo + -22glo = -32glo
-32glo + 2glox + 2glox = 4

Combine like terms: 2glox + 2glox = 4glox
-32glo + 4glox = 4

Solving
-32glo + 4glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + -32glo + 4glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -32glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -8glo + glox) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -8glo + glox)' equal to zero and attempt to solve:

Simplifying
-1 + -8glo + glox = 0

Solving
-1 + -8glo + 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 + -8glo + 1 + glox = 0 + 1

Reorder the terms:
-1 + 1 + -8glo + glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8glo + glox = 0 + 1
-8glo + glox = 0 + 1

Combine like terms: 0 + 1 = 1
-8glo + 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.