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Simplifying 3ln(2x) + 2ln(x) + -1ln(4x) = 0 Remove parenthesis around (2x) 3ln * 2x + 2ln(x) + -1ln(4x) = 0 Reorder the terms for easier multiplication: 3 * 2ln * x + 2ln(x) + -1ln(4x) = 0 Multiply 3 * 2 6ln * x + 2ln(x) + -1ln(4x) = 0 Multiply ln * x 6lnx + 2ln(x) + -1ln(4x) = 0 Multiply ln * x 6lnx + 2lnx + -1ln(4x) = 0 Remove parenthesis around (4x) 6lnx + 2lnx + -1ln * 4x = 0 Reorder the terms for easier multiplication: 6lnx + 2lnx + -1 * 4ln * x = 0 Multiply -1 * 4 6lnx + 2lnx + -4ln * x = 0 Multiply ln * x 6lnx + 2lnx + -4lnx = 0 Combine like terms: 6lnx + 2lnx = 8lnx 8lnx + -4lnx = 0 Combine like terms: 8lnx + -4lnx = 4lnx 4lnx = 0 Solving 4lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '4'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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