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

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

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

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

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

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

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

Combine like terms: 2lnx + -1lnx = 1lnx
6ln + 1lnx = ln(x + -1)

Reorder the terms:
6ln + 1lnx = ln(-1 + x)
6ln + 1lnx = (-1 * ln + x * ln)
6ln + 1lnx = (-1ln + lnx)

Solving
6ln + 1lnx = -1ln + lnx

Solving for variable 'l'.

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

Add 'ln' to each side of the equation.
6ln + ln + 1lnx = -1ln + ln + lnx

Combine like terms: 6ln + ln = 7ln
7ln + 1lnx = -1ln + ln + lnx

Combine like terms: -1ln + ln = 0
7ln + 1lnx = 0 + lnx
7ln + 1lnx = lnx

Add '-1lnx' to each side of the equation.
7ln + 1lnx + -1lnx = lnx + -1lnx

Combine like terms: 1lnx + -1lnx = 0
7ln + 0 = lnx + -1lnx
7ln = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
7ln = 0

Divide each side by '7'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.