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Simplifying log(x + 12) + -1log(x + 2) = logx Reorder the terms: glo(12 + x) + -1log(x + 2) = logx (12 * glo + x * glo) + -1log(x + 2) = logx (12glo + glox) + -1log(x + 2) = logx Reorder the terms: 12glo + glox + -1glo(2 + x) = logx 12glo + glox + (2 * -1glo + x * -1glo) = logx 12glo + glox + (-2glo + -1glox) = logx Reorder the terms: 12glo + -2glo + glox + -1glox = logx Combine like terms: 12glo + -2glo = 10glo 10glo + glox + -1glox = logx Combine like terms: glox + -1glox = 0 10glo + 0 = logx 10glo = logx Solving 10glo = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. 10glo + -1glox = glox + -1glox Combine like terms: glox + -1glox = 0 10glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(10 + -1x) = 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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Add 'x' to each side of the equation. -1x + x = -10 + x Combine like terms: -1x + x = 0 0 = -10 + x Simplifying 0 = -10 + 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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