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Simplifying ln(2x + -1) + -5ln(x + 1) = x Reorder the terms: ln(-1 + 2x) + -5ln(x + 1) = x (-1 * ln + 2x * ln) + -5ln(x + 1) = x (-1ln + 2lnx) + -5ln(x + 1) = x Reorder the terms: -1ln + 2lnx + -5ln(1 + x) = x -1ln + 2lnx + (1 * -5ln + x * -5ln) = x -1ln + 2lnx + (-5ln + -5lnx) = x Reorder the terms: -1ln + -5ln + 2lnx + -5lnx = x Combine like terms: -1ln + -5ln = -6ln -6ln + 2lnx + -5lnx = x Combine like terms: 2lnx + -5lnx = -3lnx -6ln + -3lnx = x Solving -6ln + -3lnx = x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Combine like terms: x + -1x = 0 -6ln + -3lnx + -1x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6ln + 3lnx + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6ln + 3lnx + x)' equal to zero and attempt to solve: Simplifying 6ln + 3lnx + x = 0 Solving 6ln + 3lnx + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1x' to each side of the equation. 6ln + 3lnx + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 6ln + 3lnx + 0 = 0 + -1x 6ln + 3lnx = 0 + -1x Remove the zero: 6ln + 3lnx = -1x 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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