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Simplifying ln(x + -1) + -1ln(2x + 3) = 1 Reorder the terms: ln(-1 + x) + -1ln(2x + 3) = 1 (-1 * ln + x * ln) + -1ln(2x + 3) = 1 (-1ln + lnx) + -1ln(2x + 3) = 1 Reorder the terms: -1ln + lnx + -1ln(3 + 2x) = 1 -1ln + lnx + (3 * -1ln + 2x * -1ln) = 1 -1ln + lnx + (-3ln + -2lnx) = 1 Reorder the terms: -1ln + -3ln + lnx + -2lnx = 1 Combine like terms: -1ln + -3ln = -4ln -4ln + lnx + -2lnx = 1 Combine like terms: lnx + -2lnx = -1lnx -4ln + -1lnx = 1 Solving -4ln + -1lnx = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -1 + -4ln + -1lnx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -4ln + -1lnx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 4ln + lnx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 4ln + lnx)' equal to zero and attempt to solve: Simplifying 1 + 4ln + lnx = 0 Solving 1 + 4ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4ln + -1 + lnx = 0 + -1 Reorder the terms: 1 + -1 + 4ln + lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4ln + lnx = 0 + -1 4ln + lnx = 0 + -1 Combine like terms: 0 + -1 = -1 4ln + lnx = -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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