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Simplifying Ln(x) + Ln(2x) + Ln(4x) = 3 Multiply nL * x nxL + Ln(2x) + Ln(4x) = 3 Remove parenthesis around (2x) nxL + nL * 2x + Ln(4x) = 3 Reorder the terms for easier multiplication: nxL + 2nL * x + Ln(4x) = 3 Multiply nL * x nxL + 2nxL + Ln(4x) = 3 Remove parenthesis around (4x) nxL + 2nxL + nL * 4x = 3 Reorder the terms for easier multiplication: nxL + 2nxL + 4nL * x = 3 Multiply nL * x nxL + 2nxL + 4nxL = 3 Combine like terms: nxL + 2nxL = 3nxL 3nxL + 4nxL = 3 Combine like terms: 3nxL + 4nxL = 7nxL 7nxL = 3 Solving 7nxL = 3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '7xL'. n = 0.4285714286x-1L-1 Simplifying n = 0.4285714286x-1L-1
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