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Simplifying log(x + 4) + log(x + -2) = 4 Reorder the terms: glo(4 + x) + log(x + -2) = 4 (4 * glo + x * glo) + log(x + -2) = 4 (4glo + glox) + log(x + -2) = 4 Reorder the terms: 4glo + glox + glo(-2 + x) = 4 4glo + glox + (-2 * glo + x * glo) = 4 4glo + glox + (-2glo + glox) = 4 Reorder the terms: 4glo + -2glo + glox + glox = 4 Combine like terms: 4glo + -2glo = 2glo 2glo + glox + glox = 4 Combine like terms: glox + glox = 2glox 2glo + 2glox = 4 Solving 2glo + 2glox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + 2glo + 2glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 2glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + glo + glox)' equal to zero and attempt to solve: Simplifying -2 + glo + glox = 0 Solving -2 + glo + glox = 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 + glox = 0 + 2 Reorder the terms: -2 + 2 + glo + glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + glo + glox = 0 + 2 glo + glox = 0 + 2 Combine like terms: 0 + 2 = 2 glo + glox = 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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