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Simplifying lnx = 3 + -1ln(2x) Remove parenthesis around (2x) lnx = 3 + -1ln * 2x Reorder the terms for easier multiplication: lnx = 3 + -1 * 2ln * x Multiply -1 * 2 lnx = 3 + -2ln * x Multiply ln * x lnx = 3 + -2lnx Solving lnx = 3 + -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. lnx + 2lnx = 3 + -2lnx + 2lnx Combine like terms: lnx + 2lnx = 3lnx 3lnx = 3 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 3lnx = 3 + 0 3lnx = 3 Divide each side by '3nx'. l = n-1x-1 Simplifying l = n-1x-1
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