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Simplifying Ln(x) + Ln(x + 6) = 2Ln(x + 4) Multiply nL * x nxL + Ln(x + 6) = 2Ln(x + 4) Reorder the terms: nxL + nL(6 + x) = 2Ln(x + 4) nxL + (6 * nL + x * nL) = 2Ln(x + 4) nxL + (6nL + nxL) = 2Ln(x + 4) Reorder the terms: 6nL + nxL + nxL = 2Ln(x + 4) Combine like terms: nxL + nxL = 2nxL 6nL + 2nxL = 2Ln(x + 4) Reorder the terms: 6nL + 2nxL = 2nL(4 + x) 6nL + 2nxL = (4 * 2nL + x * 2nL) 6nL + 2nxL = (8nL + 2nxL) Add '-2nxL' to each side of the equation. 6nL + 2nxL + -2nxL = 8nL + 2nxL + -2nxL Combine like terms: 2nxL + -2nxL = 0 6nL + 0 = 8nL + 2nxL + -2nxL 6nL = 8nL + 2nxL + -2nxL Combine like terms: 2nxL + -2nxL = 0 6nL = 8nL + 0 6nL = 8nL Solving 6nL = 8nL Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8nL' to each side of the equation. 6nL + -8nL = 8nL + -8nL Combine like terms: 6nL + -8nL = -2nL -2nL = 8nL + -8nL Combine like terms: 8nL + -8nL = 0 -2nL = 0 Divide each side by '-2'. nL = 0 Simplifying nL = 0 The solution to this equation could not be determined.
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