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Simplifying log(x + -2) + log(x + -4) = 2 Reorder the terms: glo(-2 + x) + log(x + -4) = 2 (-2 * glo + x * glo) + log(x + -4) = 2 (-2glo + glox) + log(x + -4) = 2 Reorder the terms: -2glo + glox + glo(-4 + x) = 2 -2glo + glox + (-4 * glo + x * glo) = 2 -2glo + glox + (-4glo + glox) = 2 Reorder the terms: -2glo + -4glo + glox + glox = 2 Combine like terms: -2glo + -4glo = -6glo -6glo + glox + glox = 2 Combine like terms: glox + glox = 2glox -6glo + 2glox = 2 Solving -6glo + 2glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -6glo + 2glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -6glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -3glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3glo + glox)' equal to zero and attempt to solve: Simplifying -1 + -3glo + glox = 0 Solving -1 + -3glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + -3glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3glo + glox = 0 + 1 -3glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 -3glo + glox = 1 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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