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