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Simplifying 2ln(x6) + -1ln(x5) = 7ln Multiply ln * x6 2lnx6 + -1ln(x5) = 7ln Multiply ln * x5 2lnx6 + -1lnx5 = 7ln Reorder the terms: -1lnx5 + 2lnx6 = 7ln Solving -1lnx5 + 2lnx6 = 7ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7ln' to each side of the equation. -1lnx5 + -7ln + 2lnx6 = 7ln + -7ln Reorder the terms: -7ln + -1lnx5 + 2lnx6 = 7ln + -7ln Combine like terms: 7ln + -7ln = 0 -7ln + -1lnx5 + 2lnx6 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-7 + -1x5 + 2x6) = 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 '(-7 + -1x5 + 2x6)' equal to zero and attempt to solve: Simplifying -7 + -1x5 + 2x6 = 0 Solving -7 + -1x5 + 2x6 = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -1x5 + 7 + 2x6 = 0 + 7 Reorder the terms: -7 + 7 + -1x5 + 2x6 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x5 + 2x6 = 0 + 7 -1x5 + 2x6 = 0 + 7 Combine like terms: 0 + 7 = 7 -1x5 + 2x6 = 7 Add 'x5' to each side of the equation. -1x5 + x5 + 2x6 = 7 + x5 Combine like terms: -1x5 + x5 = 0 0 + 2x6 = 7 + x5 2x6 = 7 + x5 Add '-2x6' to each side of the equation. 2x6 + -2x6 = 7 + x5 + -2x6 Combine like terms: 2x6 + -2x6 = 0 0 = 7 + x5 + -2x6 Simplifying 0 = 7 + x5 + -2x6 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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