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

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

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

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

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

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

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

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

Solving
-6ln + 2lnx = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + -6ln + 2lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -6ln + 2lnx = 0

The solution to this equation could not be determined.