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Simplifying 3500 = 3000log(x + 3) Reorder the terms: 3500 = 3000glo(3 + x) 3500 = (3 * 3000glo + x * 3000glo) 3500 = (9000glo + 3000glox) Solving 3500 = 9000glo + 3000glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9000glo' to each side of the equation. 3500 + -9000glo = 9000glo + -9000glo + 3000glox Combine like terms: 9000glo + -9000glo = 0 3500 + -9000glo = 0 + 3000glox 3500 + -9000glo = 3000glox Add '-3000glox' to each side of the equation. 3500 + -9000glo + -3000glox = 3000glox + -3000glox Combine like terms: 3000glox + -3000glox = 0 3500 + -9000glo + -3000glox = 0 Add '-3500' to each side of the equation. 3500 + -9000glo + -3500 + -3000glox = 0 + -3500 Reorder the terms: 3500 + -3500 + -9000glo + -3000glox = 0 + -3500 Combine like terms: 3500 + -3500 = 0 0 + -9000glo + -3000glox = 0 + -3500 -9000glo + -3000glox = 0 + -3500 Combine like terms: 0 + -3500 = -3500 -9000glo + -3000glox = -3500 Reorder the terms: 3500 + -9000glo + -3000glox = -3500 + 3500 Combine like terms: -3500 + 3500 = 0 3500 + -9000glo + -3000glox = 0 Factor out the Greatest Common Factor (GCF), '500'. 500(7 + -18glo + -6glox) = 0 Ignore the factor 500.Subproblem 1
Set the factor '(7 + -18glo + -6glox)' equal to zero and attempt to solve: Simplifying 7 + -18glo + -6glox = 0 Solving 7 + -18glo + -6glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -18glo + -7 + -6glox = 0 + -7 Reorder the terms: 7 + -7 + -18glo + -6glox = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -18glo + -6glox = 0 + -7 -18glo + -6glox = 0 + -7 Combine like terms: 0 + -7 = -7 -18glo + -6glox = -7 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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