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