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

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

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

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

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

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

Solving
-1 + 1ln + 2lnx = -2ln + lnx

Solving for variable 'l'.

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

Add '2ln' to each side of the equation.
-1 + 1ln + 2ln + 2lnx = -2ln + 2ln + lnx

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

Combine like terms: -2ln + 2ln = 0
-1 + 3ln + 2lnx = 0 + lnx
-1 + 3ln + 2lnx = lnx

Add '-1lnx' to each side of the equation.
-1 + 3ln + 2lnx + -1lnx = lnx + -1lnx

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

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

Add '1' to each side of the equation.
-1 + 3ln + 1 + 1lnx = 0 + 1

Reorder the terms:
-1 + 1 + 3ln + 1lnx = 0 + 1

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

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

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

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

The solution to this equation could not be determined.