Ln(x)+ln(x+1)=ln(2)+ln(x+3)

Solution for Ln(x)+ln(x+1)=ln(2)+ln(x+3) equation:

Simplifying
Ln(x) + ln(x + 1) = ln(2) + ln(x + 3)

Multiply nL * x
nxL + ln(x + 1) = ln(2) + ln(x + 3)

Reorder the terms:
nxL + ln(1 + x) = ln(2) + ln(x + 3)
nxL + (1 * ln + x * ln) = ln(2) + ln(x + 3)
nxL + (1ln + lnx) = ln(2) + ln(x + 3)

Reorder the terms:
1ln + lnx + nxL = ln(2) + ln(x + 3)

Reorder the terms for easier multiplication:
1ln + lnx + nxL = 2ln + ln(x + 3)

Reorder the terms:
1ln + lnx + nxL = 2ln + ln(3 + x)
1ln + lnx + nxL = 2ln + (3 * ln + x * ln)
1ln + lnx + nxL = 2ln + (3ln + lnx)

Combine like terms: 2ln + 3ln = 5ln
1ln + lnx + nxL = 5ln + lnx

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

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

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

Solving
1ln + nxL = 5ln

Solving for variable 'l'.

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

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

Combine like terms: 1ln + -5ln = -4ln
-4ln + nxL = 5ln + -5ln

Combine like terms: 5ln + -5ln = 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