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Simplifying ln(x) = ln(2) + ln(x + -8) Multiply ln * x lnx = ln(2) + ln(x + -8) Reorder the terms for easier multiplication: lnx = 2ln + ln(x + -8) Reorder the terms: lnx = 2ln + ln(-8 + x) lnx = 2ln + (-8 * ln + x * ln) lnx = 2ln + (-8ln + lnx) Combine like terms: 2ln + -8ln = -6ln lnx = -6ln + lnx Add '-1lnx' to each side of the equation. lnx + -1lnx = -6ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = -6ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = -6ln + 0 0 = -6ln Solving 0 = -6ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6ln' to each side of the equation. 0 + 6ln = -6ln + 6ln Remove the zero: 6ln = -6ln + 6ln Combine like terms: -6ln + 6ln = 0 6ln = 0 Divide each side by '6'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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