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