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Simplifying Ln(4x + 8) = ln(2x + 17) Reorder the terms: nL(8 + 4x) = ln(2x + 17) (8 * nL + 4x * nL) = ln(2x + 17) (8nL + 4nxL) = ln(2x + 17) Reorder the terms: 8nL + 4nxL = ln(17 + 2x) 8nL + 4nxL = (17 * ln + 2x * ln) 8nL + 4nxL = (17ln + 2lnx) Solving 8nL + 4nxL = 17ln + 2lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17ln' to each side of the equation. 8nL + -17ln + 4nxL = 17ln + -17ln + 2lnx Reorder the terms: -17ln + 8nL + 4nxL = 17ln + -17ln + 2lnx Combine like terms: 17ln + -17ln = 0 -17ln + 8nL + 4nxL = 0 + 2lnx -17ln + 8nL + 4nxL = 2lnx Add '-2lnx' to each side of the equation. -17ln + 8nL + -2lnx + 4nxL = 2lnx + -2lnx Reorder the terms: -17ln + -2lnx + 8nL + 4nxL = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -17ln + -2lnx + 8nL + 4nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-17l + -2lx + 8L + 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 '(-17l + -2lx + 8L + 4xL)' equal to zero and attempt to solve: Simplifying -17l + -2lx + 8L + 4xL = 0 Reorder the terms: 8L + -17l + -2lx + 4xL = 0 Solving 8L + -17l + -2lx + 4xL = 0 Move all terms containing n to the left, all other terms to the right. Add '-8L' to each side of the equation. 8L + -17l + -2lx + -8L + 4xL = 0 + -8L Reorder the terms: 8L + -8L + -17l + -2lx + 4xL = 0 + -8L Combine like terms: 8L + -8L = 0 0 + -17l + -2lx + 4xL = 0 + -8L -17l + -2lx + 4xL = 0 + -8L Remove the zero: -17l + -2lx + 4xL = -8L Add '17l' to each side of the equation. -17l + -2lx + 17l + 4xL = -8L + 17l Reorder the terms: -17l + 17l + -2lx + 4xL = -8L + 17l Combine like terms: -17l + 17l = 0 0 + -2lx + 4xL = -8L + 17l -2lx + 4xL = -8L + 17l Add '2lx' to each side of the equation. -2lx + 2lx + 4xL = -8L + 17l + 2lx Combine like terms: -2lx + 2lx = 0 0 + 4xL = -8L + 17l + 2lx 4xL = -8L + 17l + 2lx Add '-4xL' to each side of the equation. 4xL + -4xL = -8L + 17l + 2lx + -4xL Combine like terms: 4xL + -4xL = 0 0 = -8L + 17l + 2lx + -4xL Simplifying 0 = -8L + 17l + 2lx + -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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