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Simplifying 4 + -3ln(x + 5) = 1 Reorder the terms: 4 + -3ln(5 + x) = 1 4 + (5 * -3ln + x * -3ln) = 1 4 + (-15ln + -3lnx) = 1 Solving 4 + -15ln + -3lnx = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -15ln + -4 + -3lnx = 1 + -4 Reorder the terms: 4 + -4 + -15ln + -3lnx = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -15ln + -3lnx = 1 + -4 -15ln + -3lnx = 1 + -4 Combine like terms: 1 + -4 = -3 -15ln + -3lnx = -3 Reorder the terms: 3 + -15ln + -3lnx = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -15ln + -3lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -5ln + -1lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -5ln + -1lnx)' equal to zero and attempt to solve: Simplifying 1 + -5ln + -1lnx = 0 Solving 1 + -5ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5ln + -1 + -1lnx = 0 + -1 Reorder the terms: 1 + -1 + -5ln + -1lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5ln + -1lnx = 0 + -1 -5ln + -1lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -5ln + -1lnx = -1 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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