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Simplifying Ln(3x + -3) = ln(x + 4) Reorder the terms: nL(-3 + 3x) = ln(x + 4) (-3 * nL + 3x * nL) = ln(x + 4) (-3nL + 3nxL) = ln(x + 4) Reorder the terms: -3nL + 3nxL = ln(4 + x) -3nL + 3nxL = (4 * ln + x * ln) -3nL + 3nxL = (4ln + lnx) Solving -3nL + 3nxL = 4ln + lnx 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. -3nL + -4ln + 3nxL = 4ln + -4ln + lnx Reorder the terms: -4ln + -3nL + 3nxL = 4ln + -4ln + lnx Combine like terms: 4ln + -4ln = 0 -4ln + -3nL + 3nxL = 0 + lnx -4ln + -3nL + 3nxL = lnx Add '-1lnx' to each side of the equation. -4ln + -3nL + -1lnx + 3nxL = lnx + -1lnx Reorder the terms: -4ln + -1lnx + -3nL + 3nxL = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -4ln + -1lnx + -3nL + 3nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-4l + -1lx + -3L + 3xL) = 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 + -1lx + -3L + 3xL)' equal to zero and attempt to solve: Simplifying -4l + -1lx + -3L + 3xL = 0 Reorder the terms: -3L + -4l + -1lx + 3xL = 0 Solving -3L + -4l + -1lx + 3xL = 0 Move all terms containing n to the left, all other terms to the right. Add '3L' to each side of the equation. -3L + -4l + -1lx + 3L + 3xL = 0 + 3L Reorder the terms: -3L + 3L + -4l + -1lx + 3xL = 0 + 3L Combine like terms: -3L + 3L = 0 0 + -4l + -1lx + 3xL = 0 + 3L -4l + -1lx + 3xL = 0 + 3L Remove the zero: -4l + -1lx + 3xL = 3L Add '4l' to each side of the equation. -4l + -1lx + 4l + 3xL = 3L + 4l Reorder the terms: -4l + 4l + -1lx + 3xL = 3L + 4l Combine like terms: -4l + 4l = 0 0 + -1lx + 3xL = 3L + 4l -1lx + 3xL = 3L + 4l Add 'lx' to each side of the equation. -1lx + lx + 3xL = 3L + 4l + lx Combine like terms: -1lx + lx = 0 0 + 3xL = 3L + 4l + lx 3xL = 3L + 4l + lx Add '-3xL' to each side of the equation. 3xL + -3xL = 3L + 4l + lx + -3xL Combine like terms: 3xL + -3xL = 0 0 = 3L + 4l + lx + -3xL Simplifying 0 = 3L + 4l + lx + -3xL 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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