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