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