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Simplifying 0 = ln(3x + -9) Reorder the terms: 0 = ln(-9 + 3x) 0 = (-9 * ln + 3x * ln) 0 = (-9ln + 3lnx) Solving 0 = -9ln + 3lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '9ln' to each side of the equation. 0 + 9ln = -9ln + 9ln + 3lnx Remove the zero: 9ln = -9ln + 9ln + 3lnx Combine like terms: -9ln + 9ln = 0 9ln = 0 + 3lnx 9ln = 3lnx Add '-3lnx' to each side of the equation. 9ln + -3lnx = 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 9ln + -3lnx = 0 Factor out the Greatest Common Factor (GCF), '3ln'. 3ln(3 + -1x) = 0 Ignore the factor 3.Subproblem 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 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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