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Simplifying 3ln(x2) + -1ln(x3 + -1) + -1ln(x3 + 1) = 0 Multiply ln * x2 3lnx2 + -1ln(x3 + -1) + -1ln(x3 + 1) = 0 Reorder the terms: 3lnx2 + -1ln(-1 + x3) + -1ln(x3 + 1) = 0 3lnx2 + (-1 * -1ln + x3 * -1ln) + -1ln(x3 + 1) = 0 3lnx2 + (1ln + -1lnx3) + -1ln(x3 + 1) = 0 Reorder the terms: 3lnx2 + 1ln + -1lnx3 + -1ln(1 + x3) = 0 3lnx2 + 1ln + -1lnx3 + (1 * -1ln + x3 * -1ln) = 0 3lnx2 + 1ln + -1lnx3 + (-1ln + -1lnx3) = 0 Reorder the terms: 1ln + -1ln + 3lnx2 + -1lnx3 + -1lnx3 = 0 Combine like terms: 1ln + -1ln = 0 0 + 3lnx2 + -1lnx3 + -1lnx3 = 0 3lnx2 + -1lnx3 + -1lnx3 = 0 Combine like terms: -1lnx3 + -1lnx3 = -2lnx3 3lnx2 + -2lnx3 = 0 Solving 3lnx2 + -2lnx3 = 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), 'lnx2'. lnx2(3 + -2x) = 0Subproblem 1
Set the factor 'lnx2' equal to zero and attempt to solve: Simplifying lnx2 = 0 Solving lnx2 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx2 = 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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Add '2x' to each side of the equation. -2x + 2x = -3 + 2x Combine like terms: -2x + 2x = 0 0 = -3 + 2x Simplifying 0 = -3 + 2x 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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