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Simplifying 3ln(4x + -1) + 13 = 34 Reorder the terms: 3ln(-1 + 4x) + 13 = 34 (-1 * 3ln + 4x * 3ln) + 13 = 34 (-3ln + 12lnx) + 13 = 34 Reorder the terms: 13 + -3ln + 12lnx = 34 Solving 13 + -3ln + 12lnx = 34 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -3ln + -13 + 12lnx = 34 + -13 Reorder the terms: 13 + -13 + -3ln + 12lnx = 34 + -13 Combine like terms: 13 + -13 = 0 0 + -3ln + 12lnx = 34 + -13 -3ln + 12lnx = 34 + -13 Combine like terms: 34 + -13 = 21 -3ln + 12lnx = 21 Reorder the terms: -21 + -3ln + 12lnx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -3ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + -1ln + 4lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -1ln + 4lnx)' equal to zero and attempt to solve: Simplifying -7 + -1ln + 4lnx = 0 Solving -7 + -1ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -1ln + 7 + 4lnx = 0 + 7 Reorder the terms: -7 + 7 + -1ln + 4lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1ln + 4lnx = 0 + 7 -1ln + 4lnx = 0 + 7 Combine like terms: 0 + 7 = 7 -1ln + 4lnx = 7 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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