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Simplifying 2log(X + -3) = log(x + 4) + log(x + -4) Reorder the terms: 2glo(-3 + X) = log(x + 4) + log(x + -4) (-3 * 2glo + X * 2glo) = log(x + 4) + log(x + -4) (-6glo + 2gloX) = log(x + 4) + log(x + -4) Reorder the terms: -6glo + 2gloX = glo(4 + x) + log(x + -4) -6glo + 2gloX = (4 * glo + x * glo) + log(x + -4) -6glo + 2gloX = (4glo + glox) + log(x + -4) Reorder the terms: -6glo + 2gloX = 4glo + glox + glo(-4 + x) -6glo + 2gloX = 4glo + glox + (-4 * glo + x * glo) -6glo + 2gloX = 4glo + glox + (-4glo + glox) Reorder the terms: -6glo + 2gloX = 4glo + -4glo + glox + glox Combine like terms: 4glo + -4glo = 0 -6glo + 2gloX = 0 + glox + glox -6glo + 2gloX = glox + glox Combine like terms: glox + glox = 2glox -6glo + 2gloX = 2glox Solving -6glo + 2gloX = 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. -6glo + 2gloX + -2glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -6glo + 2gloX + -2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-3 + X + -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 '(-3 + X + -1x)' equal to zero and attempt to solve: Simplifying -3 + X + -1x = 0 Solving -3 + X + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + X + 3 + -1x = 0 + 3 Reorder the terms: -3 + 3 + X + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + X + -1x = 0 + 3 X + -1x = 0 + 3 Combine like terms: 0 + 3 = 3 X + -1x = 3 Add '-1X' to each side of the equation. X + -1X + -1x = 3 + -1X Combine like terms: X + -1X = 0 0 + -1x = 3 + -1X -1x = 3 + -1X Add 'x' to each side of the equation. -1x + x = 3 + -1X + x Combine like terms: -1x + x = 0 0 = 3 + -1X + x Simplifying 0 = 3 + -1X + 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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