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Simplifying Ln(x + 5) + -1ln(x + 4) = 4 Reorder the terms: nL(5 + x) + -1ln(x + 4) = 4 (5 * nL + x * nL) + -1ln(x + 4) = 4 (5nL + nxL) + -1ln(x + 4) = 4 Reorder the terms: 5nL + nxL + -1ln(4 + x) = 4 5nL + nxL + (4 * -1ln + x * -1ln) = 4 5nL + nxL + (-4ln + -1lnx) = 4 Reorder the terms: -4ln + -1lnx + 5nL + nxL = 4 Solving -4ln + -1lnx + 5nL + nxL = 4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5nL' to each side of the equation. -4ln + -1lnx + 5nL + -5nL + nxL = 4 + -5nL Combine like terms: 5nL + -5nL = 0 -4ln + -1lnx + 0 + nxL = 4 + -5nL -4ln + -1lnx + nxL = 4 + -5nL Add '-1nxL' to each side of the equation. -4ln + -1lnx + nxL + -1nxL = 4 + -5nL + -1nxL Combine like terms: nxL + -1nxL = 0 -4ln + -1lnx + 0 = 4 + -5nL + -1nxL -4ln + -1lnx = 4 + -5nL + -1nxL Reorder the terms: -4 + -4ln + -1lnx + 5nL + nxL = 4 + -5nL + -1nxL + -4 + 5nL + nxL Reorder the terms: -4 + -4ln + -1lnx + 5nL + nxL = 4 + -4 + -5nL + 5nL + -1nxL + nxL Combine like terms: 4 + -4 = 0 -4 + -4ln + -1lnx + 5nL + nxL = 0 + -5nL + 5nL + -1nxL + nxL -4 + -4ln + -1lnx + 5nL + nxL = -5nL + 5nL + -1nxL + nxL Combine like terms: -5nL + 5nL = 0 -4 + -4ln + -1lnx + 5nL + nxL = 0 + -1nxL + nxL -4 + -4ln + -1lnx + 5nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -4 + -4ln + -1lnx + 5nL + nxL = 0 The solution to this equation could not be determined.
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