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Simplifying (x) * ln(3) = (2) + -1(x) * ln(2) Reorder the terms for easier multiplication: 3x * ln = (2) + -1(x) * ln(2) Multiply x * ln 3lnx = (2) + -1(x) * ln(2) 3lnx = 2 + -1(x) * ln(2) Reorder the terms for easier multiplication: 3lnx = 2 + -1 * 2x * ln Multiply -1 * 2 3lnx = 2 + -2x * ln Multiply x * ln 3lnx = 2 + -2lnx Solving 3lnx = 2 + -2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2lnx' to each side of the equation. 3lnx + 2lnx = 2 + -2lnx + 2lnx Combine like terms: 3lnx + 2lnx = 5lnx 5lnx = 2 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 5lnx = 2 + 0 5lnx = 2 Divide each side by '5nx'. l = 0.4n-1x-1 Simplifying l = 0.4n-1x-1
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