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Simplifying 3ln(x + -4) + 2 = 23 Reorder the terms: 3ln(-4 + x) + 2 = 23 (-4 * 3ln + x * 3ln) + 2 = 23 (-12ln + 3lnx) + 2 = 23 Reorder the terms: 2 + -12ln + 3lnx = 23 Solving 2 + -12ln + 3lnx = 23 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -12ln + -2 + 3lnx = 23 + -2 Reorder the terms: 2 + -2 + -12ln + 3lnx = 23 + -2 Combine like terms: 2 + -2 = 0 0 + -12ln + 3lnx = 23 + -2 -12ln + 3lnx = 23 + -2 Combine like terms: 23 + -2 = 21 -12ln + 3lnx = 21 Reorder the terms: -21 + -12ln + 3lnx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -12ln + 3lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + -4ln + lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -4ln + lnx)' equal to zero and attempt to solve: Simplifying -7 + -4ln + lnx = 0 Solving -7 + -4ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -4ln + 7 + lnx = 0 + 7 Reorder the terms: -7 + 7 + -4ln + lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4ln + lnx = 0 + 7 -4ln + lnx = 0 + 7 Combine like terms: 0 + 7 = 7 -4ln + lnx = 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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