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