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Simplifying Ln(x2 + -3) + -1ln(2x) = 0 Reorder the terms: nL(-3 + x2) + -1ln(2x) = 0 (-3 * nL + x2 * nL) + -1ln(2x) = 0 (-3nL + nx2L) + -1ln(2x) = 0 Remove parenthesis around (2x) -3nL + nx2L + -1ln * 2x = 0 Reorder the terms for easier multiplication: -3nL + nx2L + -1 * 2ln * x = 0 Multiply -1 * 2 -3nL + nx2L + -2ln * x = 0 Multiply ln * x -3nL + nx2L + -2lnx = 0 Reorder the terms: -2lnx + -3nL + nx2L = 0 Solving -2lnx + -3nL + nx2L = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3nL' to each side of the equation. -2lnx + -3nL + 3nL + nx2L = 0 + 3nL Combine like terms: -3nL + 3nL = 0 -2lnx + 0 + nx2L = 0 + 3nL -2lnx + nx2L = 0 + 3nL Remove the zero: -2lnx + nx2L = 3nL Add '-1nx2L' to each side of the equation. -2lnx + nx2L + -1nx2L = 3nL + -1nx2L Combine like terms: nx2L + -1nx2L = 0 -2lnx + 0 = 3nL + -1nx2L -2lnx = 3nL + -1nx2L Divide each side by '-2nx'. l = -1.5x-1L + 0.5xL Simplifying l = -1.5x-1L + 0.5xL
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