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Simplifying ln(x + 4) + lnx = 32 Reorder the terms: ln(4 + x) + lnx = 32 (4 * ln + x * ln) + lnx = 32 (4ln + lnx) + lnx = 32 Combine like terms: lnx + lnx = 2lnx 4ln + 2lnx = 32 Solving 4ln + 2lnx = 32 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -32 + 4ln + 2lnx = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + 4ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + 2ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + 2ln + lnx)' equal to zero and attempt to solve: Simplifying -16 + 2ln + lnx = 0 Solving -16 + 2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 2ln + 16 + lnx = 0 + 16 Reorder the terms: -16 + 16 + 2ln + lnx = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2ln + lnx = 0 + 16 2ln + lnx = 0 + 16 Combine like terms: 0 + 16 = 16 2ln + lnx = 16 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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