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Simplifying log(x) + log(x + -1) = log(30) Multiply glo * x glox + log(x + -1) = log(30) Reorder the terms: glox + glo(-1 + x) = log(30) glox + (-1 * glo + x * glo) = log(30) glox + (-1glo + glox) = log(30) Reorder the terms: -1glo + glox + glox = log(30) Combine like terms: glox + glox = 2glox -1glo + 2glox = log(30) Reorder the terms for easier multiplication: -1glo + 2glox = 30glo Solving -1glo + 2glox = 30glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-30glo' to each side of the equation. -1glo + -30glo + 2glox = 30glo + -30glo Combine like terms: -1glo + -30glo = -31glo -31glo + 2glox = 30glo + -30glo Combine like terms: 30glo + -30glo = 0 -31glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-31 + 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 '(-31 + 2x)' equal to zero and attempt to solve: Simplifying -31 + 2x = 0 Solving -31 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 2x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = 0 + 31 2x = 0 + 31 Combine like terms: 0 + 31 = 31 2x = 31 Add '-2x' to each side of the equation. 2x + -2x = 31 + -2x Combine like terms: 2x + -2x = 0 0 = 31 + -2x Simplifying 0 = 31 + -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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