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

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

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

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

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

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

Combine like terms: 1ln + 1ln = 2ln
2ln + 2lnx + -1lnx = ln(x)

Combine like terms: 2lnx + -1lnx = 1lnx
2ln + 1lnx = ln(x)

Multiply ln * x
2ln + 1lnx = lnx

Solving
2ln + 1lnx = lnx

Solving for variable 'l'.

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

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

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

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

Divide each side by '2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.