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

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

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

Reorder the terms:
2ln(-2 + x) = ln(x + 1) + ln(x + -1)
(-2 * 2ln + x * 2ln) = ln(x + 1) + ln(x + -1)
(-4ln + 2lnx) = ln(x + 1) + ln(x + -1)

Reorder the terms:
-4ln + 2lnx = ln(1 + x) + ln(x + -1)
-4ln + 2lnx = (1 * ln + x * ln) + ln(x + -1)
-4ln + 2lnx = (1ln + lnx) + ln(x + -1)

Reorder the terms:
-4ln + 2lnx = 1ln + lnx + ln(-1 + x)
-4ln + 2lnx = 1ln + lnx + (-1 * ln + x * ln)
-4ln + 2lnx = 1ln + lnx + (-1ln + lnx)

Reorder the terms:
-4ln + 2lnx = 1ln + -1ln + lnx + lnx

Combine like terms: 1ln + -1ln = 0
-4ln + 2lnx = 0 + lnx + lnx
-4ln + 2lnx = lnx + lnx

Combine like terms: lnx + lnx = 2lnx
-4ln + 2lnx = 2lnx

Add '-2lnx' to each side of the equation.
-4ln + 2lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-4ln + 0 = 2lnx + -2lnx
-4ln = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-4ln = 0

Solving
-4ln = 0

Solving for variable 'l'.

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

Divide each side by '-4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.