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