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Simplifying ln(x + 5) + -1Ln(x + -1) = -1ln(x + 1) Reorder the terms: ln(5 + x) + -1Ln(x + -1) = -1ln(x + 1) (5 * ln + x * ln) + -1Ln(x + -1) = -1ln(x + 1) (5ln + lnx) + -1Ln(x + -1) = -1ln(x + 1) Reorder the terms: 5ln + lnx + -1nL(-1 + x) = -1ln(x + 1) 5ln + lnx + (-1 * -1nL + x * -1nL) = -1ln(x + 1) 5ln + lnx + (1nL + -1nxL) = -1ln(x + 1) Reorder the terms: 5ln + lnx + 1nL + -1nxL = -1ln(1 + x) 5ln + lnx + 1nL + -1nxL = (1 * -1ln + x * -1ln) 5ln + lnx + 1nL + -1nxL = (-1ln + -1lnx) Solving 5ln + lnx + 1nL + -1nxL = -1ln + -1lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'ln' to each side of the equation. 5ln + lnx + 1nL + ln + -1nxL = -1ln + ln + -1lnx Reorder the terms: 5ln + ln + lnx + 1nL + -1nxL = -1ln + ln + -1lnx Combine like terms: 5ln + ln = 6ln 6ln + lnx + 1nL + -1nxL = -1ln + ln + -1lnx Combine like terms: -1ln + ln = 0 6ln + lnx + 1nL + -1nxL = 0 + -1lnx 6ln + lnx + 1nL + -1nxL = -1lnx Add 'lnx' to each side of the equation. 6ln + lnx + 1nL + lnx + -1nxL = -1lnx + lnx Reorder the terms: 6ln + lnx + lnx + 1nL + -1nxL = -1lnx + lnx Combine like terms: lnx + lnx = 2lnx 6ln + 2lnx + 1nL + -1nxL = -1lnx + lnx Combine like terms: -1lnx + lnx = 0 6ln + 2lnx + 1nL + -1nxL = 0 Add '-1nL' to each side of the equation. 6ln + 2lnx + 1nL + -1nL + -1nxL = 0 + -1nL Combine like terms: 1nL + -1nL = 0 6ln + 2lnx + 0 + -1nxL = 0 + -1nL 6ln + 2lnx + -1nxL = 0 + -1nL Remove the zero: 6ln + 2lnx + -1nxL = -1nL Add 'nxL' to each side of the equation. 6ln + 2lnx + -1nxL + nxL = -1nL + nxL Combine like terms: -1nxL + nxL = 0 6ln + 2lnx + 0 = -1nL + nxL 6ln + 2lnx = -1nL + nxL Reorder the terms: 6ln + 2lnx + nL + -1nxL = -1nL + nL + nxL + -1nxL Combine like terms: -1nL + nL = 0 6ln + 2lnx + nL + -1nxL = 0 + nxL + -1nxL 6ln + 2lnx + nL + -1nxL = nxL + -1nxL Combine like terms: nxL + -1nxL = 0 6ln + 2lnx + nL + -1nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(6l + 2lx + L + -1xL) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6l + 2lx + L + -1xL)' equal to zero and attempt to solve: Simplifying 6l + 2lx + L + -1xL = 0 Reorder the terms: L + 6l + 2lx + -1xL = 0 Solving L + 6l + 2lx + -1xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-1L' to each side of the equation. L + 6l + 2lx + -1L + -1xL = 0 + -1L Reorder the terms: L + -1L + 6l + 2lx + -1xL = 0 + -1L Combine like terms: L + -1L = 0 0 + 6l + 2lx + -1xL = 0 + -1L 6l + 2lx + -1xL = 0 + -1L Remove the zero: 6l + 2lx + -1xL = -1L Add 'xL' to each side of the equation. 6l + 2lx + -1xL + xL = -1L + xL Combine like terms: -1xL + xL = 0 6l + 2lx + 0 = -1L + xL 6l + 2lx = -1L + xL 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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