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Simplifying log(x + 2) + log(x) = log(24) Reorder the terms: glo(2 + x) + log(x) = log(24) (2 * glo + x * glo) + log(x) = log(24) (2glo + glox) + log(x) = log(24) Multiply glo * x 2glo + glox + glox = log(24) Combine like terms: glox + glox = 2glox 2glo + 2glox = log(24) Reorder the terms for easier multiplication: 2glo + 2glox = 24glo Solving 2glo + 2glox = 24glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. 2glo + -24glo + 2glox = 24glo + -24glo Combine like terms: 2glo + -24glo = -22glo -22glo + 2glox = 24glo + -24glo Combine like terms: 24glo + -24glo = 0 -22glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-11 + 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 '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Add '-1x' to each side of the equation. x + -1x = 11 + -1x Combine like terms: x + -1x = 0 0 = 11 + -1x Simplifying 0 = 11 + -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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