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Simplifying 0 = log(5 + -4x) + -2logx 0 = (5 * glo + -4x * glo) + -2logx 0 = (5glo + -4glox) + -2logx Combine like terms: -4glox + -2glox = -6glox 0 = 5glo + -6glox Solving 0 = 5glo + -6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glo' to each side of the equation. 0 + -5glo = 5glo + -5glo + -6glox Remove the zero: -5glo = 5glo + -5glo + -6glox Combine like terms: 5glo + -5glo = 0 -5glo = 0 + -6glox -5glo = -6glox Add '6glox' to each side of the equation. -5glo + 6glox = -6glox + 6glox Combine like terms: -6glox + 6glox = 0 -5glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-5 + 6x) = 0Subproblem 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 '(-5 + 6x)' equal to zero and attempt to solve: Simplifying -5 + 6x = 0 Solving -5 + 6x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 0 + 5 6x = 0 + 5 Combine like terms: 0 + 5 = 5 6x = 5 Add '-6x' to each side of the equation. 6x + -6x = 5 + -6x Combine like terms: 6x + -6x = 0 0 = 5 + -6x Simplifying 0 = 5 + -6x 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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