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Simplifying ln(2x) = -1ln(3x) Remove parenthesis around (2x) ln * 2x = -1ln(3x) Reorder the terms for easier multiplication: 2ln * x = -1ln(3x) Multiply ln * x 2lnx = -1ln(3x) Remove parenthesis around (3x) 2lnx = -1ln * 3x Reorder the terms for easier multiplication: 2lnx = -1 * 3ln * x Multiply -1 * 3 2lnx = -3ln * x Multiply ln * x 2lnx = -3lnx Solving 2lnx = -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. 2lnx + 3lnx = -3lnx + 3lnx Combine like terms: 2lnx + 3lnx = 5lnx 5lnx = -3lnx + 3lnx Combine like terms: -3lnx + 3lnx = 0 5lnx = 0 Divide each side by '5'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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