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

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


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

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

Multiply glo * x
2glox + log[2](x + -4) = 2

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

Reorder the terms for easier multiplication:
2glox + 2glo(-4 + x) = 2
2glox + (-4 * 2glo + x * 2glo) = 2
2glox + (-8glo + 2glox) = 2

Reorder the terms:
-8glo + 2glox + 2glox = 2

Combine like terms: 2glox + 2glox = 4glox
-8glo + 4glox = 2

Solving
-8glo + 4glox = 2

Solving for variable 'g'.

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

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

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

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -4glo + 2glox)' equal to zero and attempt to solve: Simplifying -1 + -4glo + 2glox = 0 Solving -1 + -4glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -4glo + 1 + 2glox = 0 + 1 Reorder the terms: -1 + 1 + -4glo + 2glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4glo + 2glox = 0 + 1 -4glo + 2glox = 0 + 1 Combine like terms: 0 + 1 = 1 -4glo + 2glox = 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.

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