ln(x-1)-ln(x+1)=ln(x-4)-ln(x+2)

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Solution for ln(x-1)-ln(x+1)=ln(x-4)-ln(x+2) equation: 


Simplifying
ln(x + -1) + -1ln(x + 1) = ln(x + -4) + -1ln(x + 2)

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

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

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

Combine like terms: -1ln + -1ln = -2ln
-2ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 2)

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

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

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

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

Combine like terms: -4ln + -2ln = -6ln
-2ln = -6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-2ln = -6ln + 0
-2ln = -6ln

Solving
-2ln = -6ln

Solving for variable 'l'.

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

Add '6ln' to each side of the equation.
-2ln + 6ln = -6ln + 6ln

Combine like terms: -2ln + 6ln = 4ln
4ln = -6ln + 6ln

Combine like terms: -6ln + 6ln = 0
4ln = 0

Divide each side by '4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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