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Simplifying log[2] * x + log[2](x + 2) = log[2](x + 56) Reorder the terms for easier multiplication: 2glo * x + log[2](x + 2) = log[2](x + 56) Multiply glo * x 2glox + log[2](x + 2) = log[2](x + 56) Reorder the terms: 2glox + glo * 2(2 + x) = log[2](x + 56) Reorder the terms for easier multiplication: 2glox + 2glo(2 + x) = log[2](x + 56) 2glox + (2 * 2glo + x * 2glo) = log[2](x + 56) 2glox + (4glo + 2glox) = log[2](x + 56) Reorder the terms: 4glo + 2glox + 2glox = log[2](x + 56) Combine like terms: 2glox + 2glox = 4glox 4glo + 4glox = log[2](x + 56) Reorder the terms: 4glo + 4glox = glo * 2(56 + x) Reorder the terms for easier multiplication: 4glo + 4glox = 2glo(56 + x) 4glo + 4glox = (56 * 2glo + x * 2glo) 4glo + 4glox = (112glo + 2glox) Solving 4glo + 4glox = 112glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-112glo' to each side of the equation. 4glo + -112glo + 4glox = 112glo + -112glo + 2glox Combine like terms: 4glo + -112glo = -108glo -108glo + 4glox = 112glo + -112glo + 2glox Combine like terms: 112glo + -112glo = 0 -108glo + 4glox = 0 + 2glox -108glo + 4glox = 2glox Add '-2glox' to each side of the equation. -108glo + 4glox + -2glox = 2glox + -2glox Combine like terms: 4glox + -2glox = 2glox -108glo + 2glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -108glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-54 + 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 '(-54 + x)' equal to zero and attempt to solve: Simplifying -54 + x = 0 Solving -54 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + x = 0 + 54 x = 0 + 54 Combine like terms: 0 + 54 = 54 x = 54 Add '-1x' to each side of the equation. x + -1x = 54 + -1x Combine like terms: x + -1x = 0 0 = 54 + -1x Simplifying 0 = 54 + -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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