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Simplifying log(-3x + 10) = 2logx Reorder the terms: glo(10 + -3x) = 2logx (10 * glo + -3x * glo) = 2logx (10glo + -3glox) = 2logx Solving 10glo + -3glox = 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glox' to each side of the equation. 10glo + -3glox + -2glox = 2glox + -2glox Combine like terms: -3glox + -2glox = -5glox 10glo + -5glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 10glo + -5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(2 + -1x) = 0 Ignore the factor 5.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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