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Simplifying 4ln(5x + -1) + 4 = 8 Reorder the terms: 4ln(-1 + 5x) + 4 = 8 (-1 * 4ln + 5x * 4ln) + 4 = 8 (-4ln + 20lnx) + 4 = 8 Reorder the terms: 4 + -4ln + 20lnx = 8 Solving 4 + -4ln + 20lnx = 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 + 20lnx = 8 + -4 Reorder the terms: 4 + -4 + -4ln + 20lnx = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -4ln + 20lnx = 8 + -4 -4ln + 20lnx = 8 + -4 Combine like terms: 8 + -4 = 4 -4ln + 20lnx = 4 Reorder the terms: -4 + -4ln + 20lnx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -4ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -1ln + 5lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -1ln + 5lnx)' equal to zero and attempt to solve: Simplifying -1 + -1ln + 5lnx = 0 Solving -1 + -1ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1ln + 1 + 5lnx = 0 + 1 Reorder the terms: -1 + 1 + -1ln + 5lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1ln + 5lnx = 0 + 1 -1ln + 5lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -1ln + 5lnx = 1 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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