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Simplifying ln(x + 5) + ln(x + 3) = ln(8) Reorder the terms: ln(5 + x) + ln(x + 3) = ln(8) (5 * ln + x * ln) + ln(x + 3) = ln(8) (5ln + lnx) + ln(x + 3) = ln(8) Reorder the terms: 5ln + lnx + ln(3 + x) = ln(8) 5ln + lnx + (3 * ln + x * ln) = ln(8) 5ln + lnx + (3ln + lnx) = ln(8) Reorder the terms: 5ln + 3ln + lnx + lnx = ln(8) Combine like terms: 5ln + 3ln = 8ln 8ln + lnx + lnx = ln(8) Combine like terms: lnx + lnx = 2lnx 8ln + 2lnx = ln(8) Reorder the terms for easier multiplication: 8ln + 2lnx = 8ln Add '-8ln' to each side of the equation. 8ln + -8ln + 2lnx = 8ln + -8ln Combine like terms: 8ln + -8ln = 0 0 + 2lnx = 8ln + -8ln 2lnx = 8ln + -8ln Combine like terms: 8ln + -8ln = 0 2lnx = 0 Solving 2lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '2'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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