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Simplifying 39 = 11 + 4ln(2x + 1) Reorder the terms: 39 = 11 + 4ln(1 + 2x) 39 = 11 + (1 * 4ln + 2x * 4ln) 39 = 11 + (4ln + 8lnx) Solving 39 = 11 + 4ln + 8lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. 39 + -4ln = 11 + 4ln + -4ln + 8lnx Combine like terms: 4ln + -4ln = 0 39 + -4ln = 11 + 0 + 8lnx 39 + -4ln = 11 + 8lnx Add '-8lnx' to each side of the equation. 39 + -4ln + -8lnx = 11 + 8lnx + -8lnx Combine like terms: 8lnx + -8lnx = 0 39 + -4ln + -8lnx = 11 + 0 39 + -4ln + -8lnx = 11 Add '-39' to each side of the equation. 39 + -4ln + -39 + -8lnx = 11 + -39 Reorder the terms: 39 + -39 + -4ln + -8lnx = 11 + -39 Combine like terms: 39 + -39 = 0 0 + -4ln + -8lnx = 11 + -39 -4ln + -8lnx = 11 + -39 Combine like terms: 11 + -39 = -28 -4ln + -8lnx = -28 Reorder the terms: 28 + -4ln + -8lnx = -28 + 28 Combine like terms: -28 + 28 = 0 28 + -4ln + -8lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(7 + -1ln + -2lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -1ln + -2lnx)' equal to zero and attempt to solve: Simplifying 7 + -1ln + -2lnx = 0 Solving 7 + -1ln + -2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -1ln + -7 + -2lnx = 0 + -7 Reorder the terms: 7 + -7 + -1ln + -2lnx = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1ln + -2lnx = 0 + -7 -1ln + -2lnx = 0 + -7 Combine like terms: 0 + -7 = -7 -1ln + -2lnx = -7 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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