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

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


Simplifying
Log[2](x + 11) + -1log[2](x + -4) = 4

Reorder the terms:
goL * 2(11 + x) + -1log[2](x + -4) = 4

Reorder the terms for easier multiplication:
2goL(11 + x) + -1log[2](x + -4) = 4
(11 * 2goL + x * 2goL) + -1log[2](x + -4) = 4
(22goL + 2goxL) + -1log[2](x + -4) = 4

Reorder the terms:
22goL + 2goxL + -1glo * 2(-4 + x) = 4

Reorder the terms for easier multiplication:
22goL + 2goxL + -1 * 2glo(-4 + x) = 4

Multiply -1 * 2
22goL + 2goxL + -2glo(-4 + x) = 4
22goL + 2goxL + (-4 * -2glo + x * -2glo) = 4
22goL + 2goxL + (8glo + -2glox) = 4

Reorder the terms:
8glo + -2glox + 22goL + 2goxL = 4

Solving
8glo + -2glox + 22goL + 2goxL = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 8glo + -2glox + 22goL + 2goxL = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 8glo + -2glox + 22goL + 2goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 4glo + -1glox + 11goL + goxL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + 4glo + -1glox + 11goL + goxL)' equal to zero and attempt to solve:

Simplifying
-2 + 4glo + -1glox + 11goL + goxL = 0

Solving
-2 + 4glo + -1glox + 11goL + goxL = 0

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

Add '2' to each side of the equation.
-2 + 4glo + -1glox + 11goL + 2 + goxL = 0 + 2

Reorder the terms:
-2 + 2 + 4glo + -1glox + 11goL + goxL = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4glo + -1glox + 11goL + goxL = 0 + 2
4glo + -1glox + 11goL + goxL = 0 + 2

Combine like terms: 0 + 2 = 2
4glo + -1glox + 11goL + goxL = 2

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.

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