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Simplifying ln(x) = ln(x + -2) + -1ln(3) Multiply ln * x lnx = ln(x + -2) + -1ln(3) Reorder the terms: lnx = ln(-2 + x) + -1ln(3) lnx = (-2 * ln + x * ln) + -1ln(3) lnx = (-2ln + lnx) + -1ln(3) Reorder the terms for easier multiplication: lnx = -2ln + lnx + -1 * 3ln Multiply -1 * 3 lnx = -2ln + lnx + -3ln Reorder the terms: lnx = -2ln + -3ln + lnx Combine like terms: -2ln + -3ln = -5ln lnx = -5ln + lnx Add '-1lnx' to each side of the equation. lnx + -1lnx = -5ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = -5ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = -5ln + 0 0 = -5ln Solving 0 = -5ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '5ln' to each side of the equation. 0 + 5ln = -5ln + 5ln Remove the zero: 5ln = -5ln + 5ln Combine like terms: -5ln + 5ln = 0 5ln = 0 Divide each side by '5'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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