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Simplifying Ln(x + 4) + ln(x + 2) = 2 Reorder the terms: nL(4 + x) + ln(x + 2) = 2 (4 * nL + x * nL) + ln(x + 2) = 2 (4nL + nxL) + ln(x + 2) = 2 Reorder the terms: 4nL + nxL + ln(2 + x) = 2 4nL + nxL + (2 * ln + x * ln) = 2 4nL + nxL + (2ln + lnx) = 2 Reorder the terms: 2ln + lnx + 4nL + nxL = 2 Solving 2ln + lnx + 4nL + nxL = 2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4nL' to each side of the equation. 2ln + lnx + 4nL + -4nL + nxL = 2 + -4nL Combine like terms: 4nL + -4nL = 0 2ln + lnx + 0 + nxL = 2 + -4nL 2ln + lnx + nxL = 2 + -4nL Add '-1nxL' to each side of the equation. 2ln + lnx + nxL + -1nxL = 2 + -4nL + -1nxL Combine like terms: nxL + -1nxL = 0 2ln + lnx + 0 = 2 + -4nL + -1nxL 2ln + lnx = 2 + -4nL + -1nxL Reorder the terms: -2 + 2ln + lnx + 4nL + nxL = 2 + -4nL + -1nxL + -2 + 4nL + nxL Reorder the terms: -2 + 2ln + lnx + 4nL + nxL = 2 + -2 + -4nL + 4nL + -1nxL + nxL Combine like terms: 2 + -2 = 0 -2 + 2ln + lnx + 4nL + nxL = 0 + -4nL + 4nL + -1nxL + nxL -2 + 2ln + lnx + 4nL + nxL = -4nL + 4nL + -1nxL + nxL Combine like terms: -4nL + 4nL = 0 -2 + 2ln + lnx + 4nL + nxL = 0 + -1nxL + nxL -2 + 2ln + lnx + 4nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -2 + 2ln + lnx + 4nL + nxL = 0 The solution to this equation could not be determined.
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