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Simplifying ln(x + 30) + -1ln(x) = 2ln(4) Reorder the terms: ln(30 + x) + -1ln(x) = 2ln(4) (30 * ln + x * ln) + -1ln(x) = 2ln(4) (30ln + lnx) + -1ln(x) = 2ln(4) Multiply ln * x 30ln + lnx + -1lnx = 2ln(4) Combine like terms: lnx + -1lnx = 0 30ln + 0 = 2ln(4) 30ln = 2ln(4) Reorder the terms for easier multiplication: 30ln = 2 * 4ln Multiply 2 * 4 30ln = 8ln Solving 30ln = 8ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8ln' to each side of the equation. 30ln + -8ln = 8ln + -8ln Combine like terms: 30ln + -8ln = 22ln 22ln = 8ln + -8ln Combine like terms: 8ln + -8ln = 0 22ln = 0 Divide each side by '22'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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