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Simplifying log(1 + -1x) + logx = log(x + 4) (1 * glo + -1x * glo) + logx = log(x + 4) (1glo + -1glox) + logx = log(x + 4) Combine like terms: -1glox + glox = 0 1glo + 0 = log(x + 4) 1glo = log(x + 4) Reorder the terms: 1glo = glo(4 + x) 1glo = (4 * glo + x * glo) 1glo = (4glo + glox) Solving 1glo = 4glo + glox 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 = 4glo + -4glo + glox Combine like terms: 1glo + -4glo = -3glo -3glo = 4glo + -4glo + glox Combine like terms: 4glo + -4glo = 0 -3glo = 0 + glox -3glo = glox Add '-1glox' to each side of the equation. -3glo + -1glox = glox + -1glox Combine like terms: glox + -1glox = 0 -3glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(3 + x) = 0 Ignore the factor -1.Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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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