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Simplifying log(x) + log(x + -11) = log(12) Multiply glo * x glox + log(x + -11) = log(12) Reorder the terms: glox + glo(-11 + x) = log(12) glox + (-11 * glo + x * glo) = log(12) glox + (-11glo + glox) = log(12) Reorder the terms: -11glo + glox + glox = log(12) Combine like terms: glox + glox = 2glox -11glo + 2glox = log(12) Reorder the terms for easier multiplication: -11glo + 2glox = 12glo Solving -11glo + 2glox = 12glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. -11glo + -12glo + 2glox = 12glo + -12glo Combine like terms: -11glo + -12glo = -23glo -23glo + 2glox = 12glo + -12glo Combine like terms: 12glo + -12glo = 0 -23glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-23 + 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 '(-23 + 2x)' equal to zero and attempt to solve: Simplifying -23 + 2x = 0 Solving -23 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 2x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = 0 + 23 2x = 0 + 23 Combine like terms: 0 + 23 = 23 2x = 23 Add '-2x' to each side of the equation. 2x + -2x = 23 + -2x Combine like terms: 2x + -2x = 0 0 = 23 + -2x Simplifying 0 = 23 + -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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