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

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

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

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

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

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

Combine like terms: -1ln + 4ln = 3ln
3ln + lnx + lnx = ln(2(x + 1))

Combine like terms: lnx + lnx = 2lnx
3ln + 2lnx = ln(2(x + 1))

Reorder the terms:
3ln + 2lnx = ln(2(1 + x))
3ln + 2lnx = ln((1 * 2 + x * 2))
3ln + 2lnx = ln((2 + 2x))
3ln + 2lnx = (2 * ln + 2x * ln)
3ln + 2lnx = (2ln + 2lnx)

Add '-2lnx' to each side of the equation.
3ln + 2lnx + -2lnx = 2ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
3ln + 0 = 2ln + 2lnx + -2lnx
3ln = 2ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
3ln = 2ln + 0
3ln = 2ln

Solving
3ln = 2ln

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
3ln + -2ln = 2ln + -2ln

Combine like terms: 3ln + -2ln = 1ln
1ln = 2ln + -2ln

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

Divide each side by '1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.