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