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

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


Simplifying
ln(x + 1) + ln(x + -2) = 2ln(x + -1) + -1ln(x2 + -1)

Reorder the terms:
ln(1 + x) + ln(x + -2) = 2ln(x + -1) + -1ln(x2 + -1)
(1 * ln + x * ln) + ln(x + -2) = 2ln(x + -1) + -1ln(x2 + -1)
(1ln + lnx) + ln(x + -2) = 2ln(x + -1) + -1ln(x2 + -1)

Reorder the terms:
1ln + lnx + ln(-2 + x) = 2ln(x + -1) + -1ln(x2 + -1)
1ln + lnx + (-2 * ln + x * ln) = 2ln(x + -1) + -1ln(x2 + -1)
1ln + lnx + (-2ln + lnx) = 2ln(x + -1) + -1ln(x2 + -1)

Reorder the terms:
1ln + -2ln + lnx + lnx = 2ln(x + -1) + -1ln(x2 + -1)

Combine like terms: 1ln + -2ln = -1ln
-1ln + lnx + lnx = 2ln(x + -1) + -1ln(x2 + -1)

Combine like terms: lnx + lnx = 2lnx
-1ln + 2lnx = 2ln(x + -1) + -1ln(x2 + -1)

Reorder the terms:
-1ln + 2lnx = 2ln(-1 + x) + -1ln(x2 + -1)
-1ln + 2lnx = (-1 * 2ln + x * 2ln) + -1ln(x2 + -1)
-1ln + 2lnx = (-2ln + 2lnx) + -1ln(x2 + -1)

Reorder the terms:
-1ln + 2lnx = -2ln + 2lnx + -1ln(-1 + x2)
-1ln + 2lnx = -2ln + 2lnx + (-1 * -1ln + x2 * -1ln)
-1ln + 2lnx = -2ln + 2lnx + (1ln + -1lnx2)

Reorder the terms:
-1ln + 2lnx = -2ln + 1ln + 2lnx + -1lnx2

Combine like terms: -2ln + 1ln = -1ln
-1ln + 2lnx = -1ln + 2lnx + -1lnx2

Add 'ln' to each side of the equation.
-1ln + ln + 2lnx = -1ln + 2lnx + ln + -1lnx2

Combine like terms: -1ln + ln = 0
0 + 2lnx = -1ln + 2lnx + ln + -1lnx2
2lnx = -1ln + 2lnx + ln + -1lnx2

Reorder the terms:
2lnx = -1ln + ln + 2lnx + -1lnx2

Combine like terms: -1ln + ln = 0
2lnx = 0 + 2lnx + -1lnx2
2lnx = 2lnx + -1lnx2

Add '-2lnx' to each side of the equation.
2lnx + -2lnx = 2lnx + -2lnx + -1lnx2

Combine like terms: 2lnx + -2lnx = 0
0 = 2lnx + -2lnx + -1lnx2

Combine like terms: 2lnx + -2lnx = 0
0 = 0 + -1lnx2
0 = -1lnx2

Solving
0 = -1lnx2

Solving for variable 'l'.

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

Add 'lnx2' to each side of the equation.
0 + lnx2 = -1lnx2 + lnx2
Remove the zero:
lnx2 = -1lnx2 + lnx2

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

Simplifying
lnx2 = 0

The solution to this equation could not be determined.

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