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