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Simplifying 3log(x + -2) + -9log(4x + -8) = 0 Reorder the terms: 3glo(-2 + x) + -9log(4x + -8) = 0 (-2 * 3glo + x * 3glo) + -9log(4x + -8) = 0 (-6glo + 3glox) + -9log(4x + -8) = 0 Reorder the terms: -6glo + 3glox + -9glo(-8 + 4x) = 0 -6glo + 3glox + (-8 * -9glo + 4x * -9glo) = 0 -6glo + 3glox + (72glo + -36glox) = 0 Reorder the terms: -6glo + 72glo + 3glox + -36glox = 0 Combine like terms: -6glo + 72glo = 66glo 66glo + 3glox + -36glox = 0 Combine like terms: 3glox + -36glox = -33glox 66glo + -33glox = 0 Solving 66glo + -33glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '33glo'. 33glo(2 + -1x) = 0 Ignore the factor 33.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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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