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Simplifying ln(2x + 1) = 2 + -1ln(3x + -4) Reorder the terms: ln(1 + 2x) = 2 + -1ln(3x + -4) (1 * ln + 2x * ln) = 2 + -1ln(3x + -4) (1ln + 2lnx) = 2 + -1ln(3x + -4) Reorder the terms: 1ln + 2lnx = 2 + -1ln(-4 + 3x) 1ln + 2lnx = 2 + (-4 * -1ln + 3x * -1ln) 1ln + 2lnx = 2 + (4ln + -3lnx) Solving 1ln + 2lnx = 2 + 4ln + -3lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. 1ln + -4ln + 2lnx = 2 + 4ln + -4ln + -3lnx Combine like terms: 1ln + -4ln = -3ln -3ln + 2lnx = 2 + 4ln + -4ln + -3lnx Combine like terms: 4ln + -4ln = 0 -3ln + 2lnx = 2 + 0 + -3lnx -3ln + 2lnx = 2 + -3lnx Add '3lnx' to each side of the equation. -3ln + 2lnx + 3lnx = 2 + -3lnx + 3lnx Combine like terms: 2lnx + 3lnx = 5lnx -3ln + 5lnx = 2 + -3lnx + 3lnx Combine like terms: -3lnx + 3lnx = 0 -3ln + 5lnx = 2 + 0 -3ln + 5lnx = 2 Reorder the terms: -2 + -3ln + 5lnx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -3ln + 5lnx = 0 The solution to this equation could not be determined.
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