log(2)[x-4]=6

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Solution for log(2)[x-4]=6 equation:


Simplifying
log(2)[x + -4] = 6

Reorder the terms:
glo * 2[-4 + x] = 6

Reorder the terms for easier multiplication:
2glo[-4 + x] = 6
[-4 * 2glo + x * 2glo] = 6
[-8glo + 2glox] = 6

Solving
-8glo + 2glox = 6

Solving for variable 'g'.

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

Reorder the terms:
-6 + -8glo + 2glox = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -8glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -4glo + glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -4glo + glox)' equal to zero and attempt to solve: Simplifying -3 + -4glo + glox = 0 Solving -3 + -4glo + 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 + -4glo + 3 + glox = 0 + 3 Reorder the terms: -3 + 3 + -4glo + glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4glo + glox = 0 + 3 -4glo + glox = 0 + 3 Combine like terms: 0 + 3 = 3 -4glo + 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.

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