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