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