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Simplifying Ln(4) + -1ln(5x) = 1 Reorder the terms for easier multiplication: 4nL + -1ln(5x) = 1 Remove parenthesis around (5x) 4nL + -1ln * 5x = 1 Reorder the terms for easier multiplication: 4nL + -1 * 5ln * x = 1 Multiply -1 * 5 4nL + -5ln * x = 1 Multiply ln * x 4nL + -5lnx = 1 Reorder the terms: -5lnx + 4nL = 1 Solving -5lnx + 4nL = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4nL' to each side of the equation. -5lnx + 4nL + -4nL = 1 + -4nL Combine like terms: 4nL + -4nL = 0 -5lnx + 0 = 1 + -4nL -5lnx = 1 + -4nL Divide each side by '-5nx'. l = -0.2n-1x-1 + 0.8x-1L Simplifying l = -0.2n-1x-1 + 0.8x-1L
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