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Simplifying ln(21) = 1 + ln(x + -2) Reorder the terms for easier multiplication: 21ln = 1 + ln(x + -2) Reorder the terms: 21ln = 1 + ln(-2 + x) 21ln = 1 + (-2 * ln + x * ln) 21ln = 1 + (-2ln + lnx) Solving 21ln = 1 + -2ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2ln' to each side of the equation. 21ln + 2ln = 1 + -2ln + 2ln + lnx Combine like terms: 21ln + 2ln = 23ln 23ln = 1 + -2ln + 2ln + lnx Combine like terms: -2ln + 2ln = 0 23ln = 1 + 0 + lnx 23ln = 1 + lnx Add '-1lnx' to each side of the equation. 23ln + -1lnx = 1 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 23ln + -1lnx = 1 + 0 23ln + -1lnx = 1 Reorder the terms: -1 + 23ln + -1lnx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 23ln + -1lnx = 0 The solution to this equation could not be determined.
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