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Simplifying log(3x + -17) + -1log(x + 1) = 0 Reorder the terms: glo(-17 + 3x) + -1log(x + 1) = 0 (-17 * glo + 3x * glo) + -1log(x + 1) = 0 (-17glo + 3glox) + -1log(x + 1) = 0 Reorder the terms: -17glo + 3glox + -1glo(1 + x) = 0 -17glo + 3glox + (1 * -1glo + x * -1glo) = 0 -17glo + 3glox + (-1glo + -1glox) = 0 Reorder the terms: -17glo + -1glo + 3glox + -1glox = 0 Combine like terms: -17glo + -1glo = -18glo -18glo + 3glox + -1glox = 0 Combine like terms: 3glox + -1glox = 2glox -18glo + 2glox = 0 Solving -18glo + 2glox = 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), '2glo'. 2glo(-9 + x) = 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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -1x 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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