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Simplifying (-1x + 3) * log(4) = (6x) * log(3) Reorder the terms: (3 + -1x) * log(4) = (6x) * log(3) Reorder the terms for easier multiplication: 4glo(3 + -1x) = (6x) * log(3) (3 * 4glo + -1x * 4glo) = (6x) * log(3) (12glo + -4glox) = (6x) * log(3) Remove parenthesis around (6x) 12glo + -4glox = 6x * log(3) Reorder the terms for easier multiplication: 12glo + -4glox = 6 * 3x * glo Multiply 6 * 3 12glo + -4glox = 18x * glo Multiply x * glo 12glo + -4glox = 18glox Solving 12glo + -4glox = 18glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18glox' to each side of the equation. 12glo + -4glox + -18glox = 18glox + -18glox Combine like terms: -4glox + -18glox = -22glox 12glo + -22glox = 18glox + -18glox Combine like terms: 18glox + -18glox = 0 12glo + -22glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(6 + -11x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6 + -11x)' equal to zero and attempt to solve: Simplifying 6 + -11x = 0 Solving 6 + -11x = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -11x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 0 + -6 -11x = 0 + -6 Combine like terms: 0 + -6 = -6 -11x = -6 Add '11x' to each side of the equation. -11x + 11x = -6 + 11x Combine like terms: -11x + 11x = 0 0 = -6 + 11x Simplifying 0 = -6 + 11x 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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