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Simplifying 15 = 35 + -2log(x + 4) Reorder the terms: 15 = 35 + -2glo(4 + x) 15 = 35 + (4 * -2glo + x * -2glo) 15 = 35 + (-8glo + -2glox) Solving 15 = 35 + -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. 15 + 8glo = 35 + -8glo + 8glo + -2glox Combine like terms: -8glo + 8glo = 0 15 + 8glo = 35 + 0 + -2glox 15 + 8glo = 35 + -2glox Add '2glox' to each side of the equation. 15 + 8glo + 2glox = 35 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 15 + 8glo + 2glox = 35 + 0 15 + 8glo + 2glox = 35 Add '-15' to each side of the equation. 15 + 8glo + -15 + 2glox = 35 + -15 Reorder the terms: 15 + -15 + 8glo + 2glox = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 8glo + 2glox = 35 + -15 8glo + 2glox = 35 + -15 Combine like terms: 35 + -15 = 20 8glo + 2glox = 20 Reorder the terms: -20 + 8glo + 2glox = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 8glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 4glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + 4glo + glox)' equal to zero and attempt to solve: Simplifying -10 + 4glo + glox = 0 Solving -10 + 4glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 4glo + 10 + glox = 0 + 10 Reorder the terms: -10 + 10 + 4glo + glox = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4glo + glox = 0 + 10 4glo + glox = 0 + 10 Combine like terms: 0 + 10 = 10 4glo + glox = 10 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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