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Simplifying ln(x) = ln(x + 8) + -1ln(5) Multiply ln * x lnx = ln(x + 8) + -1ln(5) Reorder the terms: lnx = ln(8 + x) + -1ln(5) lnx = (8 * ln + x * ln) + -1ln(5) lnx = (8ln + lnx) + -1ln(5) Reorder the terms for easier multiplication: lnx = 8ln + lnx + -1 * 5ln Multiply -1 * 5 lnx = 8ln + lnx + -5ln Reorder the terms: lnx = 8ln + -5ln + lnx Combine like terms: 8ln + -5ln = 3ln lnx = 3ln + lnx Add '-1lnx' to each side of the equation. lnx + -1lnx = 3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 3ln + 0 0 = 3ln Solving 0 = 3ln 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. 0 + -3ln = 3ln + -3ln Remove the zero: -3ln = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 -3ln = 0 Divide each side by '-3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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