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

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


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

Reorder the terms:
ln(-1 + x2) + -1ln(x + -1) + ln(x + 1) = 0
(-1 * ln + x2 * ln) + -1ln(x + -1) + ln(x + 1) = 0
(-1ln + lnx2) + -1ln(x + -1) + ln(x + 1) = 0

Reorder the terms:
-1ln + lnx2 + -1ln(-1 + x) + ln(x + 1) = 0
-1ln + lnx2 + (-1 * -1ln + x * -1ln) + ln(x + 1) = 0
-1ln + lnx2 + (1ln + -1lnx) + ln(x + 1) = 0

Reorder the terms:
-1ln + lnx2 + 1ln + -1lnx + ln(1 + x) = 0
-1ln + lnx2 + 1ln + -1lnx + (1 * ln + x * ln) = 0
-1ln + lnx2 + 1ln + -1lnx + (1ln + lnx) = 0

Reorder the terms:
-1ln + 1ln + 1ln + -1lnx + lnx + lnx2 = 0

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

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

Solving
1ln + lnx2 = 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), 'ln'.
ln(1 + x2) = 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 '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + 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 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Add '-1x2' to each side of the equation. x2 + -1x2 = -1 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -1 + -1x2 Simplifying 0 = -1 + -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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