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Simplifying 5ln(2x) + 2.3 = 3.8 Remove parenthesis around (2x) 5ln * 2x + 2.3 = 3.8 Reorder the terms for easier multiplication: 5 * 2ln * x + 2.3 = 3.8 Multiply 5 * 2 10ln * x + 2.3 = 3.8 Multiply ln * x 10lnx + 2.3 = 3.8 Reorder the terms: 2.3 + 10lnx = 3.8 Solving 2.3 + 10lnx = 3.8 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2.3' to each side of the equation. 2.3 + -2.3 + 10lnx = 3.8 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 10lnx = 3.8 + -2.3 10lnx = 3.8 + -2.3 Combine like terms: 3.8 + -2.3 = 1.5 10lnx = 1.5 Divide each side by '10nx'. l = 0.15n-1x-1 Simplifying l = 0.15n-1x-1
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