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Simplifying ln(3x) = 8 + -1ln(3x) Remove parenthesis around (3x) ln * 3x = 8 + -1ln(3x) Reorder the terms for easier multiplication: 3ln * x = 8 + -1ln(3x) Multiply ln * x 3lnx = 8 + -1ln(3x) Remove parenthesis around (3x) 3lnx = 8 + -1ln * 3x Reorder the terms for easier multiplication: 3lnx = 8 + -1 * 3ln * x Multiply -1 * 3 3lnx = 8 + -3ln * x Multiply ln * x 3lnx = 8 + -3lnx Solving 3lnx = 8 + -3lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3lnx' to each side of the equation. 3lnx + 3lnx = 8 + -3lnx + 3lnx Combine like terms: 3lnx + 3lnx = 6lnx 6lnx = 8 + -3lnx + 3lnx Combine like terms: -3lnx + 3lnx = 0 6lnx = 8 + 0 6lnx = 8 Divide each side by '6nx'. l = 1.333333333n-1x-1 Simplifying l = 1.333333333n-1x-1
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