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Simplifying Ln(X + -25) = ln(x) + -1ln(25) Reorder the terms: nL(-25 + X) = ln(x) + -1ln(25) (-25 * nL + X * nL) = ln(x) + -1ln(25) (-25nL + nLX) = ln(x) + -1ln(25) Multiply ln * x -25nL + nLX = lnx + -1ln(25) Reorder the terms for easier multiplication: -25nL + nLX = lnx + -1 * 25ln Multiply -1 * 25 -25nL + nLX = lnx + -25ln Reorder the terms: -25nL + nLX = -25ln + lnx Solving -25nL + nLX = -25ln + lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25ln' to each side of the equation. -25nL + 25ln + nLX = -25ln + 25ln + lnx Reorder the terms: 25ln + -25nL + nLX = -25ln + 25ln + lnx Combine like terms: -25ln + 25ln = 0 25ln + -25nL + nLX = 0 + lnx 25ln + -25nL + nLX = lnx Add '-1lnx' to each side of the equation. 25ln + -25nL + -1lnx + nLX = lnx + -1lnx Reorder the terms: 25ln + -1lnx + -25nL + nLX = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 25ln + -1lnx + -25nL + nLX = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(25l + -1lx + -25L + LX) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(25l + -1lx + -25L + LX)' equal to zero and attempt to solve: Simplifying 25l + -1lx + -25L + LX = 0 Reorder the terms: -25L + LX + 25l + -1lx = 0 Solving -25L + LX + 25l + -1lx = 0 Move all terms containing n to the left, all other terms to the right. Add '25L' to each side of the equation. -25L + LX + 25l + 25L + -1lx = 0 + 25L Reorder the terms: -25L + 25L + LX + 25l + -1lx = 0 + 25L Combine like terms: -25L + 25L = 0 0 + LX + 25l + -1lx = 0 + 25L LX + 25l + -1lx = 0 + 25L Remove the zero: LX + 25l + -1lx = 25L Add '-1LX' to each side of the equation. LX + 25l + -1LX + -1lx = 25L + -1LX Reorder the terms: LX + -1LX + 25l + -1lx = 25L + -1LX Combine like terms: LX + -1LX = 0 0 + 25l + -1lx = 25L + -1LX 25l + -1lx = 25L + -1LX Add '-25l' to each side of the equation. 25l + -25l + -1lx = 25L + -1LX + -25l Combine like terms: 25l + -25l = 0 0 + -1lx = 25L + -1LX + -25l -1lx = 25L + -1LX + -25l Add 'lx' to each side of the equation. -1lx + lx = 25L + -1LX + -25l + lx Combine like terms: -1lx + lx = 0 0 = 25L + -1LX + -25l + lx Simplifying 0 = 25L + -1LX + -25l + lx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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