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Simplifying log(x + 1) + log(x + 2) = log(54) Reorder the terms: glo(1 + x) + log(x + 2) = log(54) (1 * glo + x * glo) + log(x + 2) = log(54) (1glo + glox) + log(x + 2) = log(54) Reorder the terms: 1glo + glox + glo(2 + x) = log(54) 1glo + glox + (2 * glo + x * glo) = log(54) 1glo + glox + (2glo + glox) = log(54) Reorder the terms: 1glo + 2glo + glox + glox = log(54) Combine like terms: 1glo + 2glo = 3glo 3glo + glox + glox = log(54) Combine like terms: glox + glox = 2glox 3glo + 2glox = log(54) Reorder the terms for easier multiplication: 3glo + 2glox = 54glo Solving 3glo + 2glox = 54glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-54glo' to each side of the equation. 3glo + -54glo + 2glox = 54glo + -54glo Combine like terms: 3glo + -54glo = -51glo -51glo + 2glox = 54glo + -54glo Combine like terms: 54glo + -54glo = 0 -51glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-51 + 2x) = 0Subproblem 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 '(-51 + 2x)' equal to zero and attempt to solve: Simplifying -51 + 2x = 0 Solving -51 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 2x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 2x = 0 + 51 2x = 0 + 51 Combine like terms: 0 + 51 = 51 2x = 51 Add '-2x' to each side of the equation. 2x + -2x = 51 + -2x Combine like terms: 2x + -2x = 0 0 = 51 + -2x Simplifying 0 = 51 + -2x 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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