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Simplifying 17 = 33 + -2log(x + 3) Reorder the terms: 17 = 33 + -2glo(3 + x) 17 = 33 + (3 * -2glo + x * -2glo) 17 = 33 + (-6glo + -2glox) Solving 17 = 33 + -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. 17 + 6glo = 33 + -6glo + 6glo + -2glox Combine like terms: -6glo + 6glo = 0 17 + 6glo = 33 + 0 + -2glox 17 + 6glo = 33 + -2glox Add '2glox' to each side of the equation. 17 + 6glo + 2glox = 33 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 17 + 6glo + 2glox = 33 + 0 17 + 6glo + 2glox = 33 Add '-17' to each side of the equation. 17 + 6glo + -17 + 2glox = 33 + -17 Reorder the terms: 17 + -17 + 6glo + 2glox = 33 + -17 Combine like terms: 17 + -17 = 0 0 + 6glo + 2glox = 33 + -17 6glo + 2glox = 33 + -17 Combine like terms: 33 + -17 = 16 6glo + 2glox = 16 Reorder the terms: -16 + 6glo + 2glox = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 6glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 3glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + 3glo + glox)' equal to zero and attempt to solve: Simplifying -8 + 3glo + glox = 0 Solving -8 + 3glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3glo + 8 + glox = 0 + 8 Reorder the terms: -8 + 8 + 3glo + glox = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3glo + glox = 0 + 8 3glo + glox = 0 + 8 Combine like terms: 0 + 8 = 8 3glo + glox = 8 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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