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Simplifying 3ln(x) + -1ln(x) = ln(9) Multiply ln * x 3lnx + -1ln(x) = ln(9) Multiply ln * x 3lnx + -1lnx = ln(9) Combine like terms: 3lnx + -1lnx = 2lnx 2lnx = ln(9) Reorder the terms for easier multiplication: 2lnx = 9ln Solving 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. -9ln + 2lnx = 9ln + -9ln Combine like terms: 9ln + -9ln = 0 -9ln + 2lnx = 0 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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