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Simplifying Ln(x) + ln(2x) + ln(3x) = 0 Multiply nL * x nxL + ln(2x) + ln(3x) = 0 Remove parenthesis around (2x) nxL + ln * 2x + ln(3x) = 0 Reorder the terms for easier multiplication: nxL + 2ln * x + ln(3x) = 0 Multiply ln * x nxL + 2lnx + ln(3x) = 0 Remove parenthesis around (3x) nxL + 2lnx + ln * 3x = 0 Reorder the terms for easier multiplication: nxL + 2lnx + 3ln * x = 0 Multiply ln * x nxL + 2lnx + 3lnx = 0 Reorder the terms: 2lnx + 3lnx + nxL = 0 Combine like terms: 2lnx + 3lnx = 5lnx 5lnx + nxL = 0 Solving 5lnx + nxL = 0 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. 5lnx + nxL + -1nxL = 0 + -1nxL Combine like terms: nxL + -1nxL = 0 5lnx + 0 = 0 + -1nxL 5lnx = 0 + -1nxL Remove the zero: 5lnx = -1nxL Divide each side by '5nx'. l = -0.2L Simplifying l = -0.2L
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