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Simplifying 2ln(5x) + -1ln(2x) = 2.5 Remove parenthesis around (5x) 2ln * 5x + -1ln(2x) = 2.5 Reorder the terms for easier multiplication: 2 * 5ln * x + -1ln(2x) = 2.5 Multiply 2 * 5 10ln * x + -1ln(2x) = 2.5 Multiply ln * x 10lnx + -1ln(2x) = 2.5 Remove parenthesis around (2x) 10lnx + -1ln * 2x = 2.5 Reorder the terms for easier multiplication: 10lnx + -1 * 2ln * x = 2.5 Multiply -1 * 2 10lnx + -2ln * x = 2.5 Multiply ln * x 10lnx + -2lnx = 2.5 Combine like terms: 10lnx + -2lnx = 8lnx 8lnx = 2.5 Solving 8lnx = 2.5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '8nx'. l = 0.3125n-1x-1 Simplifying l = 0.3125n-1x-1
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