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Simplifying 3ln(x) + -2 = 1 + -1ln(x) Multiply ln * x 3lnx + -2 = 1 + -1ln(x) Reorder the terms: -2 + 3lnx = 1 + -1ln(x) Multiply ln * x -2 + 3lnx = 1 + -1lnx Solving -2 + 3lnx = 1 + -1lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'lnx' to each side of the equation. -2 + 3lnx + lnx = 1 + -1lnx + lnx Combine like terms: 3lnx + lnx = 4lnx -2 + 4lnx = 1 + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -2 + 4lnx = 1 + 0 -2 + 4lnx = 1 Add '2' to each side of the equation. -2 + 2 + 4lnx = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 4lnx = 1 + 2 4lnx = 1 + 2 Combine like terms: 1 + 2 = 3 4lnx = 3 Divide each side by '4nx'. l = 0.75n-1x-1 Simplifying l = 0.75n-1x-1
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