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Simplifying 5 = log(20x + -800) Reorder the terms: 5 = glo(-800 + 20x) 5 = (-800 * glo + 20x * glo) 5 = (-800glo + 20glox) Solving 5 = -800glo + 20glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '800glo' to each side of the equation. 5 + 800glo = -800glo + 800glo + 20glox Combine like terms: -800glo + 800glo = 0 5 + 800glo = 0 + 20glox 5 + 800glo = 20glox Add '-20glox' to each side of the equation. 5 + 800glo + -20glox = 20glox + -20glox Combine like terms: 20glox + -20glox = 0 5 + 800glo + -20glox = 0 Add '-5' to each side of the equation. 5 + 800glo + -5 + -20glox = 0 + -5 Reorder the terms: 5 + -5 + 800glo + -20glox = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 800glo + -20glox = 0 + -5 800glo + -20glox = 0 + -5 Combine like terms: 0 + -5 = -5 800glo + -20glox = -5 Reorder the terms: 5 + 800glo + -20glox = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 800glo + -20glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + 160glo + -4glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + 160glo + -4glox)' equal to zero and attempt to solve: Simplifying 1 + 160glo + -4glox = 0 Solving 1 + 160glo + -4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 160glo + -1 + -4glox = 0 + -1 Reorder the terms: 1 + -1 + 160glo + -4glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 160glo + -4glox = 0 + -1 160glo + -4glox = 0 + -1 Combine like terms: 0 + -1 = -1 160glo + -4glox = -1 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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