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Simplifying Ln(1 + -4x) = ln(x2 + -4) (1 * nL + -4x * nL) = ln(x2 + -4) (1nL + -4nxL) = ln(x2 + -4) Reorder the terms: 1nL + -4nxL = ln(-4 + x2) 1nL + -4nxL = (-4 * ln + x2 * ln) 1nL + -4nxL = (-4ln + lnx2) Solving 1nL + -4nxL = -4ln + lnx2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4ln' to each side of the equation. 1nL + 4ln + -4nxL = -4ln + 4ln + lnx2 Reorder the terms: 4ln + 1nL + -4nxL = -4ln + 4ln + lnx2 Combine like terms: -4ln + 4ln = 0 4ln + 1nL + -4nxL = 0 + lnx2 4ln + 1nL + -4nxL = lnx2 Add '-1lnx2' to each side of the equation. 4ln + 1nL + -1lnx2 + -4nxL = lnx2 + -1lnx2 Reorder the terms: 4ln + -1lnx2 + 1nL + -4nxL = lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 4ln + -1lnx2 + 1nL + -4nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(4l + -1lx2 + L + -4xL) = 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 '(4l + -1lx2 + L + -4xL)' equal to zero and attempt to solve: Simplifying 4l + -1lx2 + L + -4xL = 0 Reorder the terms: L + 4l + -1lx2 + -4xL = 0 Solving L + 4l + -1lx2 + -4xL = 0 Move all terms containing n to the left, all other terms to the right. Add '-1L' to each side of the equation. L + 4l + -1lx2 + -1L + -4xL = 0 + -1L Reorder the terms: L + -1L + 4l + -1lx2 + -4xL = 0 + -1L Combine like terms: L + -1L = 0 0 + 4l + -1lx2 + -4xL = 0 + -1L 4l + -1lx2 + -4xL = 0 + -1L Remove the zero: 4l + -1lx2 + -4xL = -1L Add '-4l' to each side of the equation. 4l + -1lx2 + -4l + -4xL = -1L + -4l Reorder the terms: 4l + -4l + -1lx2 + -4xL = -1L + -4l Combine like terms: 4l + -4l = 0 0 + -1lx2 + -4xL = -1L + -4l -1lx2 + -4xL = -1L + -4l Add 'lx2' to each side of the equation. -1lx2 + lx2 + -4xL = -1L + -4l + lx2 Combine like terms: -1lx2 + lx2 = 0 0 + -4xL = -1L + -4l + lx2 -4xL = -1L + -4l + lx2 Add '4xL' to each side of the equation. -4xL + 4xL = -1L + -4l + lx2 + 4xL Combine like terms: -4xL + 4xL = 0 0 = -1L + -4l + lx2 + 4xL Simplifying 0 = -1L + -4l + lx2 + 4xL 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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