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Simplifying 0 = ln((4x) + -3) Reorder the terms: 0 = ln(-3 + (4x)) 0 = (-3 * ln + (4x) * ln) 0 = (-3ln + 4lnx) Solving 0 = -3ln + 4lnx 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 + 4lnx Remove the zero: 3ln = -3ln + 3ln + 4lnx Combine like terms: -3ln + 3ln = 0 3ln = 0 + 4lnx 3ln = 4lnx Add '-4lnx' to each side of the equation. 3ln + -4lnx = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 3ln + -4lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(3 + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Add '4x' to each side of the equation. -4x + 4x = -3 + 4x Combine like terms: -4x + 4x = 0 0 = -3 + 4x Simplifying 0 = -3 + 4x 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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