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Simplifying 30 = 5ln(x2 + 1) Reorder the terms: 30 = 5ln(1 + x2) 30 = (1 * 5ln + x2 * 5ln) 30 = (5ln + 5lnx2) Solving 30 = 5ln + 5lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5ln' to each side of the equation. 30 + -5ln = 5ln + -5ln + 5lnx2 Combine like terms: 5ln + -5ln = 0 30 + -5ln = 0 + 5lnx2 30 + -5ln = 5lnx2 Add '-5lnx2' to each side of the equation. 30 + -5ln + -5lnx2 = 5lnx2 + -5lnx2 Combine like terms: 5lnx2 + -5lnx2 = 0 30 + -5ln + -5lnx2 = 0 Add '-30' to each side of the equation. 30 + -5ln + -30 + -5lnx2 = 0 + -30 Reorder the terms: 30 + -30 + -5ln + -5lnx2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5ln + -5lnx2 = 0 + -30 -5ln + -5lnx2 = 0 + -30 Combine like terms: 0 + -30 = -30 -5ln + -5lnx2 = -30 Reorder the terms: 30 + -5ln + -5lnx2 = -30 + 30 Combine like terms: -30 + 30 = 0 30 + -5ln + -5lnx2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(6 + -1ln + -1lnx2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + -1ln + -1lnx2)' equal to zero and attempt to solve: Simplifying 6 + -1ln + -1lnx2 = 0 Solving 6 + -1ln + -1lnx2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1ln + -6 + -1lnx2 = 0 + -6 Reorder the terms: 6 + -6 + -1ln + -1lnx2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1ln + -1lnx2 = 0 + -6 -1ln + -1lnx2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1ln + -1lnx2 = -6 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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