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Simplifying 8ln(x + -3) + -4 = 12 Reorder the terms: 8ln(-3 + x) + -4 = 12 (-3 * 8ln + x * 8ln) + -4 = 12 (-24ln + 8lnx) + -4 = 12 Reorder the terms: -4 + -24ln + 8lnx = 12 Solving -4 + -24ln + 8lnx = 12 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -24ln + 4 + 8lnx = 12 + 4 Reorder the terms: -4 + 4 + -24ln + 8lnx = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -24ln + 8lnx = 12 + 4 -24ln + 8lnx = 12 + 4 Combine like terms: 12 + 4 = 16 -24ln + 8lnx = 16 Reorder the terms: -16 + -24ln + 8lnx = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -24ln + 8lnx = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-2 + -3ln + lnx) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-2 + -3ln + lnx)' equal to zero and attempt to solve: Simplifying -2 + -3ln + lnx = 0 Solving -2 + -3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3ln + 2 + lnx = 0 + 2 Reorder the terms: -2 + 2 + -3ln + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3ln + lnx = 0 + 2 -3ln + lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -3ln + lnx = 2 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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