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Simplifying In(x) + In(x + 3) = 2In(x + -3) Multiply nI * x nxI + In(x + 3) = 2In(x + -3) Reorder the terms: nxI + nI(3 + x) = 2In(x + -3) nxI + (3 * nI + x * nI) = 2In(x + -3) nxI + (3nI + nxI) = 2In(x + -3) Reorder the terms: 3nI + nxI + nxI = 2In(x + -3) Combine like terms: nxI + nxI = 2nxI 3nI + 2nxI = 2In(x + -3) Reorder the terms: 3nI + 2nxI = 2nI(-3 + x) 3nI + 2nxI = (-3 * 2nI + x * 2nI) 3nI + 2nxI = (-6nI + 2nxI) Add '-2nxI' to each side of the equation. 3nI + 2nxI + -2nxI = -6nI + 2nxI + -2nxI Combine like terms: 2nxI + -2nxI = 0 3nI + 0 = -6nI + 2nxI + -2nxI 3nI = -6nI + 2nxI + -2nxI Combine like terms: 2nxI + -2nxI = 0 3nI = -6nI + 0 3nI = -6nI Solving 3nI = -6nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6nI' to each side of the equation. 3nI + 6nI = -6nI + 6nI Combine like terms: 3nI + 6nI = 9nI 9nI = -6nI + 6nI Combine like terms: -6nI + 6nI = 0 9nI = 0 Divide each side by '9'. nI = 0 Simplifying nI = 0 The solution to this equation could not be determined.
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