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Simplifying log(x + 6) + -1log(x + 2) = log(x) Reorder the terms: glo(6 + x) + -1log(x + 2) = log(x) (6 * glo + x * glo) + -1log(x + 2) = log(x) (6glo + glox) + -1log(x + 2) = log(x) Reorder the terms: 6glo + glox + -1glo(2 + x) = log(x) 6glo + glox + (2 * -1glo + x * -1glo) = log(x) 6glo + glox + (-2glo + -1glox) = log(x) Reorder the terms: 6glo + -2glo + glox + -1glox = log(x) Combine like terms: 6glo + -2glo = 4glo 4glo + glox + -1glox = log(x) Combine like terms: glox + -1glox = 0 4glo + 0 = log(x) 4glo = log(x) Multiply glo * x 4glo = glox Solving 4glo = 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. 4glo + -1glox = glox + -1glox Combine like terms: glox + -1glox = 0 4glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + 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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