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Simplifying ln(x) + -1ln(5) + -1ln(-1x + 4) = 0 Multiply ln * x lnx + -1ln(5) + -1ln(-1x + 4) = 0 Reorder the terms for easier multiplication: lnx + -1 * 5ln + -1ln(-1x + 4) = 0 Multiply -1 * 5 lnx + -5ln + -1ln(-1x + 4) = 0 Reorder the terms: lnx + -5ln + -1ln(4 + -1x) = 0 lnx + -5ln + (4 * -1ln + -1x * -1ln) = 0 lnx + -5ln + (-4ln + 1lnx) = 0 Reorder the terms: -5ln + -4ln + lnx + 1lnx = 0 Combine like terms: -5ln + -4ln = -9ln -9ln + lnx + 1lnx = 0 Combine like terms: lnx + 1lnx = 2lnx -9ln + 2lnx = 0 Solving -9ln + 2lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(-9 + 2x) = 0Subproblem 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 '(-9 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Add '-2x' to each side of the equation. 2x + -2x = 9 + -2x Combine like terms: 2x + -2x = 0 0 = 9 + -2x Simplifying 0 = 9 + -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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