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Simplifying 30 = 15ln(x + -4) Reorder the terms: 30 = 15ln(-4 + x) 30 = (-4 * 15ln + x * 15ln) 30 = (-60ln + 15lnx) Solving 30 = -60ln + 15lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '60ln' to each side of the equation. 30 + 60ln = -60ln + 60ln + 15lnx Combine like terms: -60ln + 60ln = 0 30 + 60ln = 0 + 15lnx 30 + 60ln = 15lnx Add '-15lnx' to each side of the equation. 30 + 60ln + -15lnx = 15lnx + -15lnx Combine like terms: 15lnx + -15lnx = 0 30 + 60ln + -15lnx = 0 Add '-30' to each side of the equation. 30 + 60ln + -30 + -15lnx = 0 + -30 Reorder the terms: 30 + -30 + 60ln + -15lnx = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 60ln + -15lnx = 0 + -30 60ln + -15lnx = 0 + -30 Combine like terms: 0 + -30 = -30 60ln + -15lnx = -30 Reorder the terms: 30 + 60ln + -15lnx = -30 + 30 Combine like terms: -30 + 30 = 0 30 + 60ln + -15lnx = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(2 + 4ln + -1lnx) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(2 + 4ln + -1lnx)' equal to zero and attempt to solve: Simplifying 2 + 4ln + -1lnx = 0 Solving 2 + 4ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4ln + -2 + -1lnx = 0 + -2 Reorder the terms: 2 + -2 + 4ln + -1lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4ln + -1lnx = 0 + -2 4ln + -1lnx = 0 + -2 Combine like terms: 0 + -2 = -2 4ln + -1lnx = -2 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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