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Simplifying 20 = 5ln(x + 1) Reorder the terms: 20 = 5ln(1 + x) 20 = (1 * 5ln + x * 5ln) 20 = (5ln + 5lnx) Solving 20 = 5ln + 5lnx 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. 20 + -5ln = 5ln + -5ln + 5lnx Combine like terms: 5ln + -5ln = 0 20 + -5ln = 0 + 5lnx 20 + -5ln = 5lnx Add '-5lnx' to each side of the equation. 20 + -5ln + -5lnx = 5lnx + -5lnx Combine like terms: 5lnx + -5lnx = 0 20 + -5ln + -5lnx = 0 Add '-20' to each side of the equation. 20 + -5ln + -20 + -5lnx = 0 + -20 Reorder the terms: 20 + -20 + -5ln + -5lnx = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5ln + -5lnx = 0 + -20 -5ln + -5lnx = 0 + -20 Combine like terms: 0 + -20 = -20 -5ln + -5lnx = -20 Reorder the terms: 20 + -5ln + -5lnx = -20 + 20 Combine like terms: -20 + 20 = 0 20 + -5ln + -5lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(4 + -1ln + -1lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -1ln + -1lnx)' equal to zero and attempt to solve: Simplifying 4 + -1ln + -1lnx = 0 Solving 4 + -1ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1ln + -4 + -1lnx = 0 + -4 Reorder the terms: 4 + -4 + -1ln + -1lnx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1ln + -1lnx = 0 + -4 -1ln + -1lnx = 0 + -4 Combine like terms: 0 + -4 = -4 -1ln + -1lnx = -4 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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