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Simplifying 3ln(4x + -1) = 36 Reorder the terms: 3ln(-1 + 4x) = 36 (-1 * 3ln + 4x * 3ln) = 36 (-3ln + 12lnx) = 36 Solving -3ln + 12lnx = 36 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -36 + -3ln + 12lnx = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -3ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + -1ln + 4lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-12 + -1ln + 4lnx)' equal to zero and attempt to solve: Simplifying -12 + -1ln + 4lnx = 0 Solving -12 + -1ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1ln + 12 + 4lnx = 0 + 12 Reorder the terms: -12 + 12 + -1ln + 4lnx = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1ln + 4lnx = 0 + 12 -1ln + 4lnx = 0 + 12 Combine like terms: 0 + 12 = 12 -1ln + 4lnx = 12 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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