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Simplifying Ln(3 + -1x) = ln(5) (3 * nL + -1x * nL) = ln(5) (3nL + -1nxL) = ln(5) Reorder the terms for easier multiplication: 3nL + -1nxL = 5ln Solving 3nL + -1nxL = 5ln Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5ln' to each side of the equation. 3nL + -5ln + -1nxL = 5ln + -5ln Reorder the terms: -5ln + 3nL + -1nxL = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 -5ln + 3nL + -1nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-5l + 3L + -1xL) = 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 '(-5l + 3L + -1xL)' equal to zero and attempt to solve: Simplifying -5l + 3L + -1xL = 0 Reorder the terms: 3L + -5l + -1xL = 0 Solving 3L + -5l + -1xL = 0 Move all terms containing n to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -5l + -3L + -1xL = 0 + -3L Reorder the terms: 3L + -3L + -5l + -1xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -5l + -1xL = 0 + -3L -5l + -1xL = 0 + -3L Remove the zero: -5l + -1xL = -3L Add '5l' to each side of the equation. -5l + 5l + -1xL = -3L + 5l Combine like terms: -5l + 5l = 0 0 + -1xL = -3L + 5l -1xL = -3L + 5l Add 'xL' to each side of the equation. -1xL + xL = -3L + 5l + xL Combine like terms: -1xL + xL = 0 0 = -3L + 5l + xL Simplifying 0 = -3L + 5l + xL 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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