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Simplifying log(6x + -2) = log(2x + 19) Reorder the terms: glo(-2 + 6x) = log(2x + 19) (-2 * glo + 6x * glo) = log(2x + 19) (-2glo + 6glox) = log(2x + 19) Reorder the terms: -2glo + 6glox = glo(19 + 2x) -2glo + 6glox = (19 * glo + 2x * glo) -2glo + 6glox = (19glo + 2glox) Solving -2glo + 6glox = 19glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-19glo' to each side of the equation. -2glo + -19glo + 6glox = 19glo + -19glo + 2glox Combine like terms: -2glo + -19glo = -21glo -21glo + 6glox = 19glo + -19glo + 2glox Combine like terms: 19glo + -19glo = 0 -21glo + 6glox = 0 + 2glox -21glo + 6glox = 2glox Add '-2glox' to each side of the equation. -21glo + 6glox + -2glox = 2glox + -2glox Combine like terms: 6glox + -2glox = 4glox -21glo + 4glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -21glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-21 + 4x) = 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 '(-21 + 4x)' equal to zero and attempt to solve: Simplifying -21 + 4x = 0 Solving -21 + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 4x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 0 + 21 4x = 0 + 21 Combine like terms: 0 + 21 = 21 4x = 21 Add '-4x' to each side of the equation. 4x + -4x = 21 + -4x Combine like terms: 4x + -4x = 0 0 = 21 + -4x Simplifying 0 = 21 + -4x 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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