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Simplifying ln(x) = 2 + -1ln(x + 3) Multiply ln * x lnx = 2 + -1ln(x + 3) Reorder the terms: lnx = 2 + -1ln(3 + x) lnx = 2 + (3 * -1ln + x * -1ln) lnx = 2 + (-3ln + -1lnx) Solving lnx = 2 + -3ln + -1lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3ln' to each side of the equation. 3ln + lnx = 2 + -3ln + 3ln + -1lnx Combine like terms: -3ln + 3ln = 0 3ln + lnx = 2 + 0 + -1lnx 3ln + lnx = 2 + -1lnx Add 'lnx' to each side of the equation. 3ln + lnx + lnx = 2 + -1lnx + lnx Combine like terms: lnx + lnx = 2lnx 3ln + 2lnx = 2 + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 3ln + 2lnx = 2 + 0 3ln + 2lnx = 2 Reorder the terms: -2 + 3ln + 2lnx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 3ln + 2lnx = 0 The solution to this equation could not be determined.
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