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Simplifying Ln(x + 3) = 2ln * 4 Reorder the terms: nL(3 + x) = 2ln * 4 (3 * nL + x * nL) = 2ln * 4 (3nL + nxL) = 2ln * 4 Reorder the terms for easier multiplication: 3nL + nxL = 2 * 4ln Multiply 2 * 4 3nL + nxL = 8ln Solving 3nL + nxL = 8ln Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8ln' to each side of the equation. 3nL + -8ln + nxL = 8ln + -8ln Reorder the terms: -8ln + 3nL + nxL = 8ln + -8ln Combine like terms: 8ln + -8ln = 0 -8ln + 3nL + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-8l + 3L + 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 '(-8l + 3L + xL)' equal to zero and attempt to solve: Simplifying -8l + 3L + xL = 0 Reorder the terms: 3L + -8l + xL = 0 Solving 3L + -8l + xL = 0 Move all terms containing n to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -8l + -3L + xL = 0 + -3L Reorder the terms: 3L + -3L + -8l + xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -8l + xL = 0 + -3L -8l + xL = 0 + -3L Remove the zero: -8l + xL = -3L Add '8l' to each side of the equation. -8l + 8l + xL = -3L + 8l Combine like terms: -8l + 8l = 0 0 + xL = -3L + 8l xL = -3L + 8l Add '-1xL' to each side of the equation. xL + -1xL = -3L + 8l + -1xL Combine like terms: xL + -1xL = 0 0 = -3L + 8l + -1xL Simplifying 0 = -3L + 8l + -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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