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Simplifying 1.53 = -0.180ln(x) + 0.6185 Multiply ln * x 1.53 = -0.180lnx + 0.6185 Reorder the terms: 1.53 = 0.6185 + -0.180lnx Solving 1.53 = 0.6185 + -0.180lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '0.180lnx' to each side of the equation. 1.53 + 0.180lnx = 0.6185 + -0.180lnx + 0.180lnx Combine like terms: -0.180lnx + 0.180lnx = 0.000 1.53 + 0.180lnx = 0.6185 + 0.000 1.53 + 0.180lnx = 0.6185 Add '-1.53' to each side of the equation. 1.53 + -1.53 + 0.180lnx = 0.6185 + -1.53 Combine like terms: 1.53 + -1.53 = 0.00 0.00 + 0.180lnx = 0.6185 + -1.53 0.180lnx = 0.6185 + -1.53 Combine like terms: 0.6185 + -1.53 = -0.9115 0.180lnx = -0.9115 Divide each side by '0.180nx'. l = -5.063888889n-1x-1 Simplifying l = -5.063888889n-1x-1
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