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Simplifying 3 + ln(8x) = 21 + -2ln(x) Remove parenthesis around (8x) 3 + ln * 8x = 21 + -2ln(x) Reorder the terms for easier multiplication: 3 + 8ln * x = 21 + -2ln(x) Multiply ln * x 3 + 8lnx = 21 + -2ln(x) Multiply ln * x 3 + 8lnx = 21 + -2lnx Solving 3 + 8lnx = 21 + -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. 3 + 8lnx + 2lnx = 21 + -2lnx + 2lnx Combine like terms: 8lnx + 2lnx = 10lnx 3 + 10lnx = 21 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 3 + 10lnx = 21 + 0 3 + 10lnx = 21 Add '-3' to each side of the equation. 3 + -3 + 10lnx = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 10lnx = 21 + -3 10lnx = 21 + -3 Combine like terms: 21 + -3 = 18 10lnx = 18 Divide each side by '10nx'. l = 1.8n-1x-1 Simplifying l = 1.8n-1x-1
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