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

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

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

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

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

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

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

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

Solving
-5ln + 1lnx = -1

Solving for variable 'l'.

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

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

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

The solution to this equation could not be determined.