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Simplifying 10 + 2ln(3 + -1x) = 16 10 + (3 * 2ln + -1x * 2ln) = 16 10 + (6ln + -2lnx) = 16 Solving 10 + 6ln + -2lnx = 16 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 6ln + -10 + -2lnx = 16 + -10 Reorder the terms: 10 + -10 + 6ln + -2lnx = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 6ln + -2lnx = 16 + -10 6ln + -2lnx = 16 + -10 Combine like terms: 16 + -10 = 6 6ln + -2lnx = 6 Reorder the terms: -6 + 6ln + -2lnx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 6ln + -2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 3ln + -1lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 3ln + -1lnx)' equal to zero and attempt to solve: Simplifying -3 + 3ln + -1lnx = 0 Solving -3 + 3ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3ln + 3 + -1lnx = 0 + 3 Reorder the terms: -3 + 3 + 3ln + -1lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3ln + -1lnx = 0 + 3 3ln + -1lnx = 0 + 3 Combine like terms: 0 + 3 = 3 3ln + -1lnx = 3 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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