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Simplifying ln(x + 4) + -1ln(x + -6) = ln(17) Reorder the terms: ln(4 + x) + -1ln(x + -6) = ln(17) (4 * ln + x * ln) + -1ln(x + -6) = ln(17) (4ln + lnx) + -1ln(x + -6) = ln(17) Reorder the terms: 4ln + lnx + -1ln(-6 + x) = ln(17) 4ln + lnx + (-6 * -1ln + x * -1ln) = ln(17) 4ln + lnx + (6ln + -1lnx) = ln(17) Reorder the terms: 4ln + 6ln + lnx + -1lnx = ln(17) Combine like terms: 4ln + 6ln = 10ln 10ln + lnx + -1lnx = ln(17) Combine like terms: lnx + -1lnx = 0 10ln + 0 = ln(17) 10ln = ln(17) Reorder the terms for easier multiplication: 10ln = 17ln Solving 10ln = 17ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-17ln' to each side of the equation. 10ln + -17ln = 17ln + -17ln Combine like terms: 10ln + -17ln = -7ln -7ln = 17ln + -17ln Combine like terms: 17ln + -17ln = 0 -7ln = 0 Divide each side by '-7'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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