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Simplifying 110 = 20log(x + 8) Reorder the terms: 110 = 20glo(8 + x) 110 = (8 * 20glo + x * 20glo) 110 = (160glo + 20glox) Solving 110 = 160glo + 20glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-160glo' to each side of the equation. 110 + -160glo = 160glo + -160glo + 20glox Combine like terms: 160glo + -160glo = 0 110 + -160glo = 0 + 20glox 110 + -160glo = 20glox Add '-20glox' to each side of the equation. 110 + -160glo + -20glox = 20glox + -20glox Combine like terms: 20glox + -20glox = 0 110 + -160glo + -20glox = 0 Add '-110' to each side of the equation. 110 + -160glo + -110 + -20glox = 0 + -110 Reorder the terms: 110 + -110 + -160glo + -20glox = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -160glo + -20glox = 0 + -110 -160glo + -20glox = 0 + -110 Combine like terms: 0 + -110 = -110 -160glo + -20glox = -110 Reorder the terms: 110 + -160glo + -20glox = -110 + 110 Combine like terms: -110 + 110 = 0 110 + -160glo + -20glox = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(11 + -16glo + -2glox) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(11 + -16glo + -2glox)' equal to zero and attempt to solve: Simplifying 11 + -16glo + -2glox = 0 Solving 11 + -16glo + -2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -16glo + -11 + -2glox = 0 + -11 Reorder the terms: 11 + -11 + -16glo + -2glox = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -16glo + -2glox = 0 + -11 -16glo + -2glox = 0 + -11 Combine like terms: 0 + -11 = -11 -16glo + -2glox = -11 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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