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