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