ln(ln(x^2-3x-1))=0

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Solution for ln(ln(x^2-3x-1))=0 equation:


Simplifying
ln(ln(x2 + -3x + -1)) = 0

Reorder the terms:
ln(ln(-1 + -3x + x2)) = 0
ln((-1 * ln + -3x * ln + x2 * ln)) = 0
ln((-1ln + -3lnx + lnx2)) = 0
(-1ln * ln + -3lnx * ln + lnx2 * ln) = 0
(-1l2n2 + -3l2n2x + l2n2x2) = 0

Solving
-1l2n2 + -3l2n2x + l2n2x2 = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'l2n2'.
l2n2(-1 + -3x + x2) = 0

Subproblem 1

Set the factor 'l2n2' equal to zero and attempt to solve: Simplifying l2n2 = 0 Solving l2n2 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l2n2 = 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 '(-1 + -3x + x2)' equal to zero and attempt to solve: Simplifying -1 + -3x + x2 = 0 Solving -1 + -3x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -3x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x + x2 = 0 + 1 -3x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -3x + x2 = 1 Add '3x' to each side of the equation. -3x + 3x + x2 = 1 + 3x Combine like terms: -3x + 3x = 0 0 + x2 = 1 + 3x x2 = 1 + 3x Add '-1x2' to each side of the equation. x2 + -1x2 = 1 + 3x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 1 + 3x + -1x2 Simplifying 0 = 1 + 3x + -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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