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Simplifying Ln(x) + ln(2x) = 8.229 Multiply nL * x nxL + ln(2x) = 8.229 Remove parenthesis around (2x) nxL + ln * 2x = 8.229 Reorder the terms for easier multiplication: nxL + 2ln * x = 8.229 Multiply ln * x nxL + 2lnx = 8.229 Reorder the terms: 2lnx + nxL = 8.229 Solving 2lnx + nxL = 8.229 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1nxL' to each side of the equation. 2lnx + nxL + -1nxL = 8.229 + -1nxL Combine like terms: nxL + -1nxL = 0 2lnx + 0 = 8.229 + -1nxL 2lnx = 8.229 + -1nxL Divide each side by '2nx'. l = 4.1145n-1x-1 + -0.5L Simplifying l = 4.1145n-1x-1 + -0.5L Reorder the terms: l = -0.5L + 4.1145n-1x-1
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