ln(5-x)+ln(x-1)=ln(3)

Solution for ln(5-x)+ln(x-1)=ln(3) equation:

Simplifying
ln(5 + -1x) + ln(x + -1) = ln(3)
(5 * ln + -1x * ln) + ln(x + -1) = ln(3)
(5ln + -1lnx) + ln(x + -1) = ln(3)

Reorder the terms:
5ln + -1lnx + ln(-1 + x) = ln(3)
5ln + -1lnx + (-1 * ln + x * ln) = ln(3)
5ln + -1lnx + (-1ln + lnx) = ln(3)

Reorder the terms:
5ln + -1ln + -1lnx + lnx = ln(3)

Combine like terms: 5ln + -1ln = 4ln
4ln + -1lnx + lnx = ln(3)

Combine like terms: -1lnx + lnx = 0
4ln + 0 = ln(3)
4ln = ln(3)

Reorder the terms for easier multiplication:
4ln = 3ln

Solving
4ln = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
4ln + -3ln = 3ln + -3ln

Combine like terms: 4ln + -3ln = 1ln
1ln = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
1ln = 0

Divide each side by '1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.