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Simplifying 2ln(-1x + 4) = ln(9) Reorder the terms: 2ln(4 + -1x) = ln(9) (4 * 2ln + -1x * 2ln) = ln(9) (8ln + -2lnx) = ln(9) Reorder the terms for easier multiplication: 8ln + -2lnx = 9ln Solving 8ln + -2lnx = 9ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9ln' to each side of the equation. 8ln + -9ln + -2lnx = 9ln + -9ln Combine like terms: 8ln + -9ln = -1ln -1ln + -2lnx = 9ln + -9ln Combine like terms: 9ln + -9ln = 0 -1ln + -2lnx = 0 Factor out the Greatest Common Factor (GCF), '-1ln'. -1ln(1 + 2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x 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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