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Simplifying ln(0.8) = 2.4 + -1ln(3x) Reorder the terms for easier multiplication: 0.8ln = 2.4 + -1ln(3x) Remove parenthesis around (3x) 0.8ln = 2.4 + -1ln * 3x Reorder the terms for easier multiplication: 0.8ln = 2.4 + -1 * 3ln * x Multiply -1 * 3 0.8ln = 2.4 + -3ln * x Multiply ln * x 0.8ln = 2.4 + -3lnx Solving 0.8ln = 2.4 + -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. 0.8ln + 3lnx = 2.4 + -3lnx + 3lnx Combine like terms: -3lnx + 3lnx = 0 0.8ln + 3lnx = 2.4 + 0 0.8ln + 3lnx = 2.4 Reorder the terms: -2.4 + 0.8ln + 3lnx = 2.4 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 -2.4 + 0.8ln + 3lnx = 0.0 The solution to this equation could not be determined.
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