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Simplifying 16 = 28 + -2log(x + 4) Reorder the terms: 16 = 28 + -2glo(4 + x) 16 = 28 + (4 * -2glo + x * -2glo) 16 = 28 + (-8glo + -2glox) Solving 16 = 28 + -8glo + -2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8glo' to each side of the equation. 16 + 8glo = 28 + -8glo + 8glo + -2glox Combine like terms: -8glo + 8glo = 0 16 + 8glo = 28 + 0 + -2glox 16 + 8glo = 28 + -2glox Add '2glox' to each side of the equation. 16 + 8glo + 2glox = 28 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 16 + 8glo + 2glox = 28 + 0 16 + 8glo + 2glox = 28 Add '-16' to each side of the equation. 16 + 8glo + -16 + 2glox = 28 + -16 Reorder the terms: 16 + -16 + 8glo + 2glox = 28 + -16 Combine like terms: 16 + -16 = 0 0 + 8glo + 2glox = 28 + -16 8glo + 2glox = 28 + -16 Combine like terms: 28 + -16 = 12 8glo + 2glox = 12 Reorder the terms: -12 + 8glo + 2glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 8glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 4glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 4glo + glox)' equal to zero and attempt to solve: Simplifying -6 + 4glo + glox = 0 Solving -6 + 4glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 4glo + 6 + glox = 0 + 6 Reorder the terms: -6 + 6 + 4glo + glox = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4glo + glox = 0 + 6 4glo + glox = 0 + 6 Combine like terms: 0 + 6 = 6 4glo + glox = 6 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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