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Simplifying In(x + 2) = In(5x) + In(2) Reorder the terms: nI(2 + x) = In(5x) + In(2) (2 * nI + x * nI) = In(5x) + In(2) (2nI + nxI) = In(5x) + In(2) Remove parenthesis around (5x) 2nI + nxI = nI * 5x + In(2) Reorder the terms for easier multiplication: 2nI + nxI = 5nI * x + In(2) Multiply nI * x 2nI + nxI = 5nxI + In(2) Reorder the terms for easier multiplication: 2nI + nxI = 5nxI + 2nI Reorder the terms: 2nI + nxI = 2nI + 5nxI Add '-2nI' to each side of the equation. 2nI + -2nI + nxI = 2nI + -2nI + 5nxI Combine like terms: 2nI + -2nI = 0 0 + nxI = 2nI + -2nI + 5nxI nxI = 2nI + -2nI + 5nxI Combine like terms: 2nI + -2nI = 0 nxI = 0 + 5nxI nxI = 5nxI Solving nxI = 5nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5nxI' to each side of the equation. nxI + -5nxI = 5nxI + -5nxI Combine like terms: nxI + -5nxI = -4nxI -4nxI = 5nxI + -5nxI Combine like terms: 5nxI + -5nxI = 0 -4nxI = 0 Divide each side by '-4'. nxI = 0 Simplifying nxI = 0 The solution to this equation could not be determined.
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