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