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Simplifying ln(-3x + 1) = ln(2x) + 3 Reorder the terms: ln(1 + -3x) = ln(2x) + 3 (1 * ln + -3x * ln) = ln(2x) + 3 (1ln + -3lnx) = ln(2x) + 3 Remove parenthesis around (2x) 1ln + -3lnx = ln * 2x + 3 Reorder the terms for easier multiplication: 1ln + -3lnx = 2ln * x + 3 Multiply ln * x 1ln + -3lnx = 2lnx + 3 Reorder the terms: 1ln + -3lnx = 3 + 2lnx Solving 1ln + -3lnx = 3 + 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. 1ln + -3lnx + -2lnx = 3 + 2lnx + -2lnx Combine like terms: -3lnx + -2lnx = -5lnx 1ln + -5lnx = 3 + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 1ln + -5lnx = 3 + 0 1ln + -5lnx = 3 Reorder the terms: -3 + 1ln + -5lnx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 1ln + -5lnx = 0 The solution to this equation could not be determined.
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