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Simplifying 60 = 10 + 5log(4x + 3) Reorder the terms: 60 = 10 + 5glo(3 + 4x) 60 = 10 + (3 * 5glo + 4x * 5glo) 60 = 10 + (15glo + 20glox) Solving 60 = 10 + 15glo + 20glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15glo' to each side of the equation. 60 + -15glo = 10 + 15glo + -15glo + 20glox Combine like terms: 15glo + -15glo = 0 60 + -15glo = 10 + 0 + 20glox 60 + -15glo = 10 + 20glox Add '-20glox' to each side of the equation. 60 + -15glo + -20glox = 10 + 20glox + -20glox Combine like terms: 20glox + -20glox = 0 60 + -15glo + -20glox = 10 + 0 60 + -15glo + -20glox = 10 Add '-60' to each side of the equation. 60 + -15glo + -60 + -20glox = 10 + -60 Reorder the terms: 60 + -60 + -15glo + -20glox = 10 + -60 Combine like terms: 60 + -60 = 0 0 + -15glo + -20glox = 10 + -60 -15glo + -20glox = 10 + -60 Combine like terms: 10 + -60 = -50 -15glo + -20glox = -50 Reorder the terms: 50 + -15glo + -20glox = -50 + 50 Combine like terms: -50 + 50 = 0 50 + -15glo + -20glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(10 + -3glo + -4glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(10 + -3glo + -4glox)' equal to zero and attempt to solve: Simplifying 10 + -3glo + -4glox = 0 Solving 10 + -3glo + -4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -3glo + -10 + -4glox = 0 + -10 Reorder the terms: 10 + -10 + -3glo + -4glox = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3glo + -4glox = 0 + -10 -3glo + -4glox = 0 + -10 Combine like terms: 0 + -10 = -10 -3glo + -4glox = -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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