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Simplifying ln(x) + -1ln(x + -7) = ln(5) Multiply ln * x lnx + -1ln(x + -7) = ln(5) Reorder the terms: lnx + -1ln(-7 + x) = ln(5) lnx + (-7 * -1ln + x * -1ln) = ln(5) lnx + (7ln + -1lnx) = ln(5) Reorder the terms: 7ln + lnx + -1lnx = ln(5) Combine like terms: lnx + -1lnx = 0 7ln + 0 = ln(5) 7ln = ln(5) Reorder the terms for easier multiplication: 7ln = 5ln Solving 7ln = 5ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5ln' to each side of the equation. 7ln + -5ln = 5ln + -5ln Combine like terms: 7ln + -5ln = 2ln 2ln = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 2ln = 0 Divide each side by '2'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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