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Simplifying log(2x + 3) + log(x + 1) = log(28) Reorder the terms: glo(3 + 2x) + log(x + 1) = log(28) (3 * glo + 2x * glo) + log(x + 1) = log(28) (3glo + 2glox) + log(x + 1) = log(28) Reorder the terms: 3glo + 2glox + glo(1 + x) = log(28) 3glo + 2glox + (1 * glo + x * glo) = log(28) 3glo + 2glox + (1glo + glox) = log(28) Reorder the terms: 3glo + 1glo + 2glox + glox = log(28) Combine like terms: 3glo + 1glo = 4glo 4glo + 2glox + glox = log(28) Combine like terms: 2glox + glox = 3glox 4glo + 3glox = log(28) Reorder the terms for easier multiplication: 4glo + 3glox = 28glo Solving 4glo + 3glox = 28glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28glo' to each side of the equation. 4glo + -28glo + 3glox = 28glo + -28glo Combine like terms: 4glo + -28glo = -24glo -24glo + 3glox = 28glo + -28glo Combine like terms: 28glo + -28glo = 0 -24glo + 3glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-8 + x) = 0 Ignore the factor 3.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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -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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