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Simplifying 3ln(x) + 2 = 6 + -1ln(e) Multiply ln * x 3lnx + 2 = 6 + -1ln(e) Reorder the terms: 2 + 3lnx = 6 + -1ln(e) Multiply ln * e 2 + 3lnx = 6 + -1eln Solving 2 + 3lnx = 6 + -1eln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'eln' to each side of the equation. 2 + eln + 3lnx = 6 + -1eln + eln Combine like terms: -1eln + eln = 0 2 + eln + 3lnx = 6 + 0 2 + eln + 3lnx = 6 Add '-2' to each side of the equation. 2 + eln + -2 + 3lnx = 6 + -2 Reorder the terms: 2 + -2 + eln + 3lnx = 6 + -2 Combine like terms: 2 + -2 = 0 0 + eln + 3lnx = 6 + -2 eln + 3lnx = 6 + -2 Combine like terms: 6 + -2 = 4 eln + 3lnx = 4 Reorder the terms: -4 + eln + 3lnx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + eln + 3lnx = 0 The solution to this equation could not be determined.
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