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Simplifying ln(0.5) = 2ln(1 + -1x) Reorder the terms for easier multiplication: 0.5ln = 2ln(1 + -1x) 0.5ln = (1 * 2ln + -1x * 2ln) 0.5ln = (2ln + -2lnx) Solving 0.5ln = 2ln + -2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. 0.5ln + -2ln = 2ln + -2ln + -2lnx Combine like terms: 0.5ln + -2ln = -1.5ln -1.5ln = 2ln + -2ln + -2lnx Combine like terms: 2ln + -2ln = 0 -1.5ln = 0 + -2lnx -1.5ln = -2lnx Add '2lnx' to each side of the equation. -1.5ln + 2lnx = -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 -1.5ln + 2lnx = 0 The solution to this equation could not be determined.
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