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Simplifying lnx = 1 + -1ln(x + 8) Reorder the terms: lnx = 1 + -1ln(8 + x) lnx = 1 + (8 * -1ln + x * -1ln) lnx = 1 + (-8ln + -1lnx) Solving lnx = 1 + -8ln + -1lnx 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. 8ln + lnx = 1 + -8ln + 8ln + -1lnx Combine like terms: -8ln + 8ln = 0 8ln + lnx = 1 + 0 + -1lnx 8ln + lnx = 1 + -1lnx Add 'lnx' to each side of the equation. 8ln + lnx + lnx = 1 + -1lnx + lnx Combine like terms: lnx + lnx = 2lnx 8ln + 2lnx = 1 + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 8ln + 2lnx = 1 + 0 8ln + 2lnx = 1 Reorder the terms: -1 + 8ln + 2lnx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 8ln + 2lnx = 0 The solution to this equation could not be determined.
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