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

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

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

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

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

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

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

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

Solving
4ln + 2lnx = 1

Solving for variable 'l'.

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

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

Combine like terms: 1 + -1 = 0
-1 + 4ln + 2lnx = 0

The solution to this equation could not be determined.