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Simplifying 4ln(2x + -4) + -7 = 9 Reorder the terms: 4ln(-4 + 2x) + -7 = 9 (-4 * 4ln + 2x * 4ln) + -7 = 9 (-16ln + 8lnx) + -7 = 9 Reorder the terms: -7 + -16ln + 8lnx = 9 Solving -7 + -16ln + 8lnx = 9 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -16ln + 7 + 8lnx = 9 + 7 Reorder the terms: -7 + 7 + -16ln + 8lnx = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -16ln + 8lnx = 9 + 7 -16ln + 8lnx = 9 + 7 Combine like terms: 9 + 7 = 16 -16ln + 8lnx = 16 Reorder the terms: -16 + -16ln + 8lnx = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -16ln + 8lnx = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-2 + -2ln + lnx) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-2 + -2ln + lnx)' equal to zero and attempt to solve: Simplifying -2 + -2ln + lnx = 0 Solving -2 + -2ln + 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 + -2ln + 2 + lnx = 0 + 2 Reorder the terms: -2 + 2 + -2ln + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2ln + lnx = 0 + 2 -2ln + lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -2ln + 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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