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

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

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

Multiply ln * x
2lnx + -1ln(x + -1) = ln(2) + ln(x + 4)

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

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

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

Reorder the terms for easier multiplication:
1ln + 1lnx = 2ln + ln(x + 4)

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

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

Solving
1ln + 1lnx = 6ln + lnx

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 + 1lnx = 6ln + -6ln + lnx

Combine like terms: 1ln + -6ln = -5ln
-5ln + 1lnx = 6ln + -6ln + lnx

Combine like terms: 6ln + -6ln = 0
-5ln + 1lnx = 0 + lnx
-5ln + 1lnx = lnx

Add '-1lnx' to each side of the equation.
-5ln + 1lnx + -1lnx = lnx + -1lnx

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

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

Divide each side by '-5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.