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Simplifying Ln(x + 1) = -1ln(x + -1) Reorder the terms: nL(1 + x) = -1ln(x + -1) (1 * nL + x * nL) = -1ln(x + -1) (1nL + nxL) = -1ln(x + -1) Reorder the terms: 1nL + nxL = -1ln(-1 + x) 1nL + nxL = (-1 * -1ln + x * -1ln) 1nL + nxL = (1ln + -1lnx) Solving 1nL + nxL = 1ln + -1lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1ln' to each side of the equation. 1nL + -1ln + nxL = 1ln + -1ln + -1lnx Reorder the terms: -1ln + 1nL + nxL = 1ln + -1ln + -1lnx Combine like terms: 1ln + -1ln = 0 -1ln + 1nL + nxL = 0 + -1lnx -1ln + 1nL + nxL = -1lnx Add 'lnx' to each side of the equation. -1ln + 1nL + lnx + nxL = -1lnx + lnx Reorder the terms: -1ln + lnx + 1nL + nxL = -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -1ln + lnx + 1nL + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-1l + lx + L + xL) = 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 '(-1l + lx + L + xL)' equal to zero and attempt to solve: Simplifying -1l + lx + L + xL = 0 Reorder the terms: L + -1l + lx + xL = 0 Solving L + -1l + lx + xL = 0 Move all terms containing n to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -1l + lx + -1L + xL = 0 + -1L Reorder the terms: L + -1L + -1l + lx + xL = 0 + -1L Combine like terms: L + -1L = 0 0 + -1l + lx + xL = 0 + -1L -1l + lx + xL = 0 + -1L Remove the zero: -1l + lx + xL = -1L Add 'l' to each side of the equation. -1l + lx + l + xL = -1L + l Reorder the terms: -1l + l + lx + xL = -1L + l Combine like terms: -1l + l = 0 0 + lx + xL = -1L + l lx + xL = -1L + l Add '-1lx' to each side of the equation. lx + -1lx + xL = -1L + l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = -1L + l + -1lx xL = -1L + l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = -1L + l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = -1L + l + -1lx + -1xL Simplifying 0 = -1L + l + -1lx + -1xL 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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