-2log(x-6)-8=-8

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Solution for -2log(x-6)-8=-8 equation:


Simplifying
-2log(x + -6) + -8 = -8

Reorder the terms:
-2glo(-6 + x) + -8 = -8
(-6 * -2glo + x * -2glo) + -8 = -8
(12glo + -2glox) + -8 = -8

Reorder the terms:
-8 + 12glo + -2glox = -8

Add '8' to each side of the equation.
-8 + 12glo + 8 + -2glox = -8 + 8

Reorder the terms:
-8 + 8 + 12glo + -2glox = -8 + 8

Combine like terms: -8 + 8 = 0
0 + 12glo + -2glox = -8 + 8
12glo + -2glox = -8 + 8

Combine like terms: -8 + 8 = 0
12glo + -2glox = 0

Solving
12glo + -2glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '2glo'.
2glo(6 + -1x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Add 'x' to each side of the equation. -1x + x = -6 + x Combine like terms: -1x + x = 0 0 = -6 + x Simplifying 0 = -6 + x 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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