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Simplifying Ln(x + -2) = ln(x + -1) Reorder the terms: nL(-2 + x) = ln(x + -1) (-2 * nL + x * nL) = ln(x + -1) (-2nL + nxL) = ln(x + -1) Reorder the terms: -2nL + nxL = ln(-1 + x) -2nL + nxL = (-1 * ln + x * ln) -2nL + nxL = (-1ln + lnx) Solving -2nL + nxL = -1ln + lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'ln' to each side of the equation. -2nL + ln + nxL = -1ln + ln + lnx Reorder the terms: ln + -2nL + nxL = -1ln + ln + lnx Combine like terms: -1ln + ln = 0 ln + -2nL + nxL = 0 + lnx ln + -2nL + nxL = lnx Add '-1lnx' to each side of the equation. ln + -2nL + -1lnx + nxL = lnx + -1lnx Reorder the terms: ln + -1lnx + -2nL + nxL = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 ln + -1lnx + -2nL + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(l + -1lx + -2L + 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 '(l + -1lx + -2L + xL)' equal to zero and attempt to solve: Simplifying l + -1lx + -2L + xL = 0 Reorder the terms: -2L + l + -1lx + xL = 0 Solving -2L + l + -1lx + xL = 0 Move all terms containing n to the left, all other terms to the right. Add '2L' to each side of the equation. -2L + l + -1lx + 2L + xL = 0 + 2L Reorder the terms: -2L + 2L + l + -1lx + xL = 0 + 2L Combine like terms: -2L + 2L = 0 0 + l + -1lx + xL = 0 + 2L l + -1lx + xL = 0 + 2L Remove the zero: l + -1lx + xL = 2L Add '-1l' to each side of the equation. l + -1lx + -1l + xL = 2L + -1l Reorder the terms: l + -1l + -1lx + xL = 2L + -1l Combine like terms: l + -1l = 0 0 + -1lx + xL = 2L + -1l -1lx + xL = 2L + -1l Add 'lx' to each side of the equation. -1lx + lx + xL = 2L + -1l + lx Combine like terms: -1lx + lx = 0 0 + xL = 2L + -1l + lx xL = 2L + -1l + lx Add '-1xL' to each side of the equation. xL + -1xL = 2L + -1l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = 2L + -1l + lx + -1xL Simplifying 0 = 2L + -1l + lx + -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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