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

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


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

Reorder the terms:
0 = ln(-3 + x2)
0 = (-3 * ln + x2 * ln)
0 = (-3ln + lnx2)

Solving
0 = -3ln + lnx2

Solving for variable 'l'.

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

Add '3ln' to each side of the equation.
0 + 3ln = -3ln + 3ln + lnx2
Remove the zero:
3ln = -3ln + 3ln + lnx2

Combine like terms: -3ln + 3ln = 0
3ln = 0 + lnx2
3ln = lnx2

Add '-1lnx2' to each side of the equation.
3ln + -1lnx2 = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
3ln + -1lnx2 = 0

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

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