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Simplifying ln(x) + -1ln(x + -5) = ln(12) Multiply ln * x lnx + -1ln(x + -5) = ln(12) Reorder the terms: lnx + -1ln(-5 + x) = ln(12) lnx + (-5 * -1ln + x * -1ln) = ln(12) lnx + (5ln + -1lnx) = ln(12) Reorder the terms: 5ln + lnx + -1lnx = ln(12) Combine like terms: lnx + -1lnx = 0 5ln + 0 = ln(12) 5ln = ln(12) Reorder the terms for easier multiplication: 5ln = 12ln Solving 5ln = 12ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12ln' to each side of the equation. 5ln + -12ln = 12ln + -12ln Combine like terms: 5ln + -12ln = -7ln -7ln = 12ln + -12ln Combine like terms: 12ln + -12ln = 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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