ln(5-x)-ln(3)+ln(x-1)=0

Solution for ln(5-x)-ln(3)+ln(x-1)=0 equation:

Simplifying
ln(5 + -1x) + -1ln(3) + ln(x + -1) = 0
(5 * ln + -1x * ln) + -1ln(3) + ln(x + -1) = 0
(5ln + -1lnx) + -1ln(3) + ln(x + -1) = 0

Reorder the terms for easier multiplication:
5ln + -1lnx + -1 * 3ln + ln(x + -1) = 0

Multiply -1 * 3
5ln + -1lnx + -3ln + ln(x + -1) = 0

Reorder the terms:
5ln + -1lnx + -3ln + ln(-1 + x) = 0
5ln + -1lnx + -3ln + (-1 * ln + x * ln) = 0
5ln + -1lnx + -3ln + (-1ln + lnx) = 0

Reorder the terms:
5ln + -3ln + -1ln + -1lnx + lnx = 0

Combine like terms: 5ln + -3ln = 2ln
2ln + -1ln + -1lnx + lnx = 0

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

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

Solving
1ln = 0

Solving for variable 'l'.

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

Divide each side by '1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.