ln(x-1)-ln(2x-5)=3

Solution for ln(x-1)-ln(2x-5)=3 equation:

Simplifying
ln(x + -1) + -1ln(2x + -5) = 3

Reorder the terms:
ln(-1 + x) + -1ln(2x + -5) = 3
(-1 * ln + x * ln) + -1ln(2x + -5) = 3
(-1ln + lnx) + -1ln(2x + -5) = 3

Reorder the terms:
-1ln + lnx + -1ln(-5 + 2x) = 3
-1ln + lnx + (-5 * -1ln + 2x * -1ln) = 3
-1ln + lnx + (5ln + -2lnx) = 3

Reorder the terms:
-1ln + 5ln + lnx + -2lnx = 3

Combine like terms: -1ln + 5ln = 4ln
4ln + lnx + -2lnx = 3

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

Solving
4ln + -1lnx = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + 4ln + -1lnx = 3 + -3

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

The solution to this equation could not be determined.