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Simplifying 2ln(x + 5) + -5 = 3 Reorder the terms: 2ln(5 + x) + -5 = 3 (5 * 2ln + x * 2ln) + -5 = 3 (10ln + 2lnx) + -5 = 3 Reorder the terms: -5 + 10ln + 2lnx = 3 Solving -5 + 10ln + 2lnx = 3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 10ln + 5 + 2lnx = 3 + 5 Reorder the terms: -5 + 5 + 10ln + 2lnx = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 10ln + 2lnx = 3 + 5 10ln + 2lnx = 3 + 5 Combine like terms: 3 + 5 = 8 10ln + 2lnx = 8 Reorder the terms: -8 + 10ln + 2lnx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 10ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 5ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 5ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + 5ln + lnx = 0 Solving -4 + 5ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 5ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + 5ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5ln + lnx = 0 + 4 5ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 5ln + lnx = 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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