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