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

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

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

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

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

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

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

Combine like terms: lnx + -1lnx = 0
3ln + 0 = ln(2)
3ln = ln(2)

Reorder the terms for easier multiplication:
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.