2ln(x)+ln(2x-1)=ln(2x+8)+2ln(x-1)

Solution for 2ln(x)+ln(2x-1)=ln(2x+8)+2ln(x-1) equation:

Simplifying
2ln(x) + ln(2x + -1) = ln(2x + 8) + 2ln(x + -1)

Multiply ln * x
2lnx + ln(2x + -1) = ln(2x + 8) + 2ln(x + -1)

Reorder the terms:
2lnx + ln(-1 + 2x) = ln(2x + 8) + 2ln(x + -1)
2lnx + (-1 * ln + 2x * ln) = ln(2x + 8) + 2ln(x + -1)
2lnx + (-1ln + 2lnx) = ln(2x + 8) + 2ln(x + -1)

Reorder the terms:
-1ln + 2lnx + 2lnx = ln(2x + 8) + 2ln(x + -1)

Combine like terms: 2lnx + 2lnx = 4lnx
-1ln + 4lnx = ln(2x + 8) + 2ln(x + -1)

Reorder the terms:
-1ln + 4lnx = ln(8 + 2x) + 2ln(x + -1)
-1ln + 4lnx = (8 * ln + 2x * ln) + 2ln(x + -1)
-1ln + 4lnx = (8ln + 2lnx) + 2ln(x + -1)

Reorder the terms:
-1ln + 4lnx = 8ln + 2lnx + 2ln(-1 + x)
-1ln + 4lnx = 8ln + 2lnx + (-1 * 2ln + x * 2ln)
-1ln + 4lnx = 8ln + 2lnx + (-2ln + 2lnx)

Reorder the terms:
-1ln + 4lnx = 8ln + -2ln + 2lnx + 2lnx

Combine like terms: 8ln + -2ln = 6ln
-1ln + 4lnx = 6ln + 2lnx + 2lnx

Combine like terms: 2lnx + 2lnx = 4lnx
-1ln + 4lnx = 6ln + 4lnx

Add '-4lnx' to each side of the equation.
-1ln + 4lnx + -4lnx = 6ln + 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-1ln + 0 = 6ln + 4lnx + -4lnx
-1ln = 6ln + 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-1ln = 6ln + 0
-1ln = 6ln

Solving
-1ln = 6ln

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
-1ln + -6ln = 6ln + -6ln

Combine like terms: -1ln + -6ln = -7ln
-7ln = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-7ln = 0

Divide each side by '-7'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.