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Simplifying -2log(x + 6) = -8 Reorder the terms: -2glo(6 + x) = -8 (6 * -2glo + x * -2glo) = -8 (-12glo + -2glox) = -8 Solving -12glo + -2glox = -8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: 8 + -12glo + -2glox = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -12glo + -2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -6glo + -1glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -6glo + -1glox)' equal to zero and attempt to solve: Simplifying 4 + -6glo + -1glox = 0 Solving 4 + -6glo + -1glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -6glo + -4 + -1glox = 0 + -4 Reorder the terms: 4 + -4 + -6glo + -1glox = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6glo + -1glox = 0 + -4 -6glo + -1glox = 0 + -4 Combine like terms: 0 + -4 = -4 -6glo + -1glox = -4 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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