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