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Simplifying 3log(5x + -1) = 3log(x + 7) Reorder the terms: 3glo(-1 + 5x) = 3log(x + 7) (-1 * 3glo + 5x * 3glo) = 3log(x + 7) (-3glo + 15glox) = 3log(x + 7) Reorder the terms: -3glo + 15glox = 3glo(7 + x) -3glo + 15glox = (7 * 3glo + x * 3glo) -3glo + 15glox = (21glo + 3glox) Solving -3glo + 15glox = 21glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-21glo' to each side of the equation. -3glo + -21glo + 15glox = 21glo + -21glo + 3glox Combine like terms: -3glo + -21glo = -24glo -24glo + 15glox = 21glo + -21glo + 3glox Combine like terms: 21glo + -21glo = 0 -24glo + 15glox = 0 + 3glox -24glo + 15glox = 3glox Add '-3glox' to each side of the equation. -24glo + 15glox + -3glox = 3glox + -3glox Combine like terms: 15glox + -3glox = 12glox -24glo + 12glox = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 -24glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '12glo'. 12glo(-2 + x) = 0 Ignore the factor 12.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 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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