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Simplifying 5 + ln(8x) = 23 + -2ln(x) Remove parenthesis around (8x) 5 + ln * 8x = 23 + -2ln(x) Reorder the terms for easier multiplication: 5 + 8ln * x = 23 + -2ln(x) Multiply ln * x 5 + 8lnx = 23 + -2ln(x) Multiply ln * x 5 + 8lnx = 23 + -2lnx Solving 5 + 8lnx = 23 + -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. 5 + 8lnx + 2lnx = 23 + -2lnx + 2lnx Combine like terms: 8lnx + 2lnx = 10lnx 5 + 10lnx = 23 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 5 + 10lnx = 23 + 0 5 + 10lnx = 23 Add '-5' to each side of the equation. 5 + -5 + 10lnx = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 10lnx = 23 + -5 10lnx = 23 + -5 Combine like terms: 23 + -5 = 18 10lnx = 18 Divide each side by '10nx'. l = 1.8n-1x-1 Simplifying l = 1.8n-1x-1
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