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

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

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

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

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

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

Combine like terms: -1ln + -5ln = -6ln
-6ln + 3lnx + -1lnx = 5

Combine like terms: 3lnx + -1lnx = 2lnx
-6ln + 2lnx = 5

Solving
-6ln + 2lnx = 5

Solving for variable 'l'.

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

Reorder the terms:
-5 + -6ln + 2lnx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -6ln + 2lnx = 0

The solution to this equation could not be determined.