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Simplifying 6ln(x3) + -2ln(x4 + -1) = 0 Multiply ln * x3 6lnx3 + -2ln(x4 + -1) = 0 Reorder the terms: 6lnx3 + -2ln(-1 + x4) = 0 6lnx3 + (-1 * -2ln + x4 * -2ln) = 0 6lnx3 + (2ln + -2lnx4) = 0 Reorder the terms: 2ln + 6lnx3 + -2lnx4 = 0 Solving 2ln + 6lnx3 + -2lnx4 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(1 + 3x3 + -1x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(1 + 3x3 + -1x4)' equal to zero and attempt to solve: Simplifying 1 + 3x3 + -1x4 = 0 Solving 1 + 3x3 + -1x4 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3x3 + -1 + -1x4 = 0 + -1 Reorder the terms: 1 + -1 + 3x3 + -1x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x3 + -1x4 = 0 + -1 3x3 + -1x4 = 0 + -1 Combine like terms: 0 + -1 = -1 3x3 + -1x4 = -1 Add '-3x3' to each side of the equation. 3x3 + -3x3 + -1x4 = -1 + -3x3 Combine like terms: 3x3 + -3x3 = 0 0 + -1x4 = -1 + -3x3 -1x4 = -1 + -3x3 Add 'x4' to each side of the equation. -1x4 + x4 = -1 + -3x3 + x4 Combine like terms: -1x4 + x4 = 0 0 = -1 + -3x3 + x4 Simplifying 0 = -1 + -3x3 + x4 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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