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Simplifying ln(x2) + ln(y2) = 2ln(6) Multiply ln * x2 lnx2 + ln(y2) = 2ln(6) Multiply ln * y2 lnx2 + lny2 = 2ln(6) Reorder the terms for easier multiplication: lnx2 + lny2 = 2 * 6ln Multiply 2 * 6 lnx2 + lny2 = 12ln Solving lnx2 + lny2 = 12ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12ln' to each side of the equation. lnx2 + -12ln + lny2 = 12ln + -12ln Reorder the terms: -12ln + lnx2 + lny2 = 12ln + -12ln Combine like terms: 12ln + -12ln = 0 -12ln + lnx2 + lny2 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-12 + x2 + y2) = 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 '(-12 + x2 + y2)' equal to zero and attempt to solve: Simplifying -12 + x2 + y2 = 0 Solving -12 + x2 + y2 = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + x2 + 12 + y2 = 0 + 12 Reorder the terms: -12 + 12 + x2 + y2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x2 + y2 = 0 + 12 x2 + y2 = 0 + 12 Combine like terms: 0 + 12 = 12 x2 + y2 = 12 Add '-1x2' to each side of the equation. x2 + -1x2 + y2 = 12 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y2 = 12 + -1x2 y2 = 12 + -1x2 Add '-1y2' to each side of the equation. y2 + -1y2 = 12 + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = 12 + -1x2 + -1y2 Simplifying 0 = 12 + -1x2 + -1y2 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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