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Simplifying Ln(2 + -1x) + -2ln(x) = 0 (2 * nL + -1x * nL) + -2ln(x) = 0 (2nL + -1nxL) + -2ln(x) = 0 Multiply ln * x 2nL + -1nxL + -2lnx = 0 Reorder the terms: -2lnx + 2nL + -1nxL = 0 Solving -2lnx + 2nL + -1nxL = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2nL' to each side of the equation. -2lnx + 2nL + -2nL + -1nxL = 0 + -2nL Combine like terms: 2nL + -2nL = 0 -2lnx + 0 + -1nxL = 0 + -2nL -2lnx + -1nxL = 0 + -2nL Remove the zero: -2lnx + -1nxL = -2nL Add 'nxL' to each side of the equation. -2lnx + -1nxL + nxL = -2nL + nxL Combine like terms: -1nxL + nxL = 0 -2lnx + 0 = -2nL + nxL -2lnx = -2nL + nxL Divide each side by '-2nx'. l = x-1L + -0.5L Simplifying l = x-1L + -0.5L Reorder the terms: l = -0.5L + x-1L
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