Lnx+ln(x-1)=ln(x+3)

Solution for Lnx+ln(x-1)=ln(x+3) equation:

Simplifying
Lnx + ln(x + -1) = ln(x + 3)

Reorder the terms:
nxL + ln(-1 + x) = ln(x + 3)
nxL + (-1 * ln + x * ln) = ln(x + 3)
nxL + (-1ln + lnx) = ln(x + 3)

Reorder the terms:
-1ln + lnx + nxL = ln(x + 3)

Reorder the terms:
-1ln + lnx + nxL = ln(3 + x)
-1ln + lnx + nxL = (3 * ln + x * ln)
-1ln + lnx + nxL = (3ln + lnx)

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

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

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

Solving
-1ln + nxL = 3ln

Solving for variable 'l'.

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

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

Combine like terms: -1ln + -3ln = -4ln
-4ln + nxL = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
-4ln + nxL = 0

Add '-1nxL' to each side of the equation.
-4ln + nxL + -1nxL = 0 + -1nxL

Combine like terms: nxL + -1nxL = 0
-4ln + 0 = 0 + -1nxL
-4ln = 0 + -1nxL
Remove the zero:
-4ln = -1nxL

Divide each side by '-4n'.
l = 0.25xL

Simplifying
l = 0.25xL