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Simplifying log(x + 4) + log(x + -4) = log(48) Reorder the terms: glo(4 + x) + log(x + -4) = log(48) (4 * glo + x * glo) + log(x + -4) = log(48) (4glo + glox) + log(x + -4) = log(48) Reorder the terms: 4glo + glox + glo(-4 + x) = log(48) 4glo + glox + (-4 * glo + x * glo) = log(48) 4glo + glox + (-4glo + glox) = log(48) Reorder the terms: 4glo + -4glo + glox + glox = log(48) Combine like terms: 4glo + -4glo = 0 0 + glox + glox = log(48) glox + glox = log(48) Combine like terms: glox + glox = 2glox 2glox = log(48) Reorder the terms for easier multiplication: 2glox = 48glo Solving 2glox = 48glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-48glo' to each side of the equation. -48glo + 2glox = 48glo + -48glo Combine like terms: 48glo + -48glo = 0 -48glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-24 + x) = 0 Ignore the factor 2.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 '(-24 + x)' equal to zero and attempt to solve: Simplifying -24 + x = 0 Solving -24 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + x = 0 + 24 x = 0 + 24 Combine like terms: 0 + 24 = 24 x = 24 Add '-1x' to each side of the equation. x + -1x = 24 + -1x Combine like terms: x + -1x = 0 0 = 24 + -1x Simplifying 0 = 24 + -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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