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Simplifying 0 = -1ln(x + 3) Reorder the terms: 0 = -1ln(3 + x) 0 = (3 * -1ln + x * -1ln) 0 = (-3ln + -1lnx) Solving 0 = -3ln + -1lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3ln' to each side of the equation. 0 + 3ln = -3ln + 3ln + -1lnx Remove the zero: 3ln = -3ln + 3ln + -1lnx Combine like terms: -3ln + 3ln = 0 3ln = 0 + -1lnx 3ln = -1lnx Add 'lnx' to each side of the equation. 3ln + lnx = -1lnx + lnx Combine like terms: -1lnx + lnx = 0 3ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(3 + x) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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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