ln(4x-5)-ln(2x-5)=ln(2x+1)

Solution for ln(4x-5)-ln(2x-5)=ln(2x+1) equation:

Simplifying
ln(4x + -5) + -1ln(2x + -5) = ln(2x + 1)

Reorder the terms:
ln(-5 + 4x) + -1ln(2x + -5) = ln(2x + 1)
(-5 * ln + 4x * ln) + -1ln(2x + -5) = ln(2x + 1)
(-5ln + 4lnx) + -1ln(2x + -5) = ln(2x + 1)

Reorder the terms:
-5ln + 4lnx + -1ln(-5 + 2x) = ln(2x + 1)
-5ln + 4lnx + (-5 * -1ln + 2x * -1ln) = ln(2x + 1)
-5ln + 4lnx + (5ln + -2lnx) = ln(2x + 1)

Reorder the terms:
-5ln + 5ln + 4lnx + -2lnx = ln(2x + 1)

Combine like terms: -5ln + 5ln = 0
0 + 4lnx + -2lnx = ln(2x + 1)
4lnx + -2lnx = ln(2x + 1)

Combine like terms: 4lnx + -2lnx = 2lnx
2lnx = ln(2x + 1)

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

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

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

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

Solving
0 = 1ln

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
0 + -1ln = 1ln + -1ln
Remove the zero:
-1ln = 1ln + -1ln

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

Divide each side by '-1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.