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Simplifying 4 + ln(8x) = 25 + -2lnx Remove parenthesis around (8x) 4 + ln * 8x = 25 + -2lnx Reorder the terms for easier multiplication: 4 + 8ln * x = 25 + -2lnx Multiply ln * x 4 + 8lnx = 25 + -2lnx Solving 4 + 8lnx = 25 + -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. 4 + 8lnx + 2lnx = 25 + -2lnx + 2lnx Combine like terms: 8lnx + 2lnx = 10lnx 4 + 10lnx = 25 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 4 + 10lnx = 25 + 0 4 + 10lnx = 25 Add '-4' to each side of the equation. 4 + -4 + 10lnx = 25 + -4 Combine like terms: 4 + -4 = 0 0 + 10lnx = 25 + -4 10lnx = 25 + -4 Combine like terms: 25 + -4 = 21 10lnx = 21 Divide each side by '10nx'. l = 2.1n-1x-1 Simplifying l = 2.1n-1x-1
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