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Simplifying Ln(x) + -1Ln(2x + 1) = 1 Multiply nL * x nxL + -1Ln(2x + 1) = 1 Reorder the terms: nxL + -1nL(1 + 2x) = 1 nxL + (1 * -1nL + 2x * -1nL) = 1 nxL + (-1nL + -2nxL) = 1 Reorder the terms: -1nL + nxL + -2nxL = 1 Combine like terms: nxL + -2nxL = -1nxL -1nL + -1nxL = 1 Solving -1nL + -1nxL = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Reorder the terms: -1 + -1nL + -1nxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -1nL + -1nxL = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + nL + nxL) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + nL + nxL)' equal to zero and attempt to solve: Simplifying 1 + nL + nxL = 0 Solving 1 + nL + nxL = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + nL + -1 + nxL = 0 + -1 Reorder the terms: 1 + -1 + nL + nxL = 0 + -1 Combine like terms: 1 + -1 = 0 0 + nL + nxL = 0 + -1 nL + nxL = 0 + -1 Combine like terms: 0 + -1 = -1 nL + nxL = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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