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