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Simplifying 0.4 = ln(1 + i) 0.4 = (1 * ln + i * ln) Reorder the terms: 0.4 = (iln + 1ln) 0.4 = (iln + 1ln) Solving 0.4 = iln + 1ln Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iln' to each side of the equation. 0.4 + -1iln = iln + -1iln + 1ln Combine like terms: iln + -1iln = 0 0.4 + -1iln = 0 + 1ln 0.4 + -1iln = 1ln Add '-0.4' to each side of the equation. 0.4 + -0.4 + -1iln = -0.4 + 1ln Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1iln = -0.4 + 1ln -1iln = -0.4 + 1ln Divide each side by '-1ln'. i = 0.4l-1n-1 + -1 Simplifying i = 0.4l-1n-1 + -1 Reorder the terms: i = -1 + 0.4l-1n-1
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