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