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Simplifying log(2)(x + 5) = -1log(2)(x + 3) Reorder the terms: glo * 2(5 + x) = -1log(2)(x + 3) Reorder the terms for easier multiplication: 2glo(5 + x) = -1log(2)(x + 3) (5 * 2glo + x * 2glo) = -1log(2)(x + 3) (10glo + 2glox) = -1log(2)(x + 3) Reorder the terms: 10glo + 2glox = -1glo * 2(3 + x) Reorder the terms for easier multiplication: 10glo + 2glox = -1 * 2glo(3 + x) Multiply -1 * 2 10glo + 2glox = -2glo(3 + x) 10glo + 2glox = (3 * -2glo + x * -2glo) 10glo + 2glox = (-6glo + -2glox) Solving 10glo + 2glox = -6glo + -2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6glo' to each side of the equation. 10glo + 6glo + 2glox = -6glo + 6glo + -2glox Combine like terms: 10glo + 6glo = 16glo 16glo + 2glox = -6glo + 6glo + -2glox Combine like terms: -6glo + 6glo = 0 16glo + 2glox = 0 + -2glox 16glo + 2glox = -2glox Add '2glox' to each side of the equation. 16glo + 2glox + 2glox = -2glox + 2glox Combine like terms: 2glox + 2glox = 4glox 16glo + 4glox = -2glox + 2glox Combine like terms: -2glox + 2glox = 0 16glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(4 + x) = 0 Ignore the factor 4.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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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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