Ln(x)+ln(x+2)=ln(x+6)

Solution for Ln(x)+ln(x+2)=ln(x+6) equation:

Simplifying
Ln(x) + ln(x + 2) = ln(x + 6)

Multiply nL * x
nxL + ln(x + 2) = ln(x + 6)

Reorder the terms:
nxL + ln(2 + x) = ln(x + 6)
nxL + (2 * ln + x * ln) = ln(x + 6)
nxL + (2ln + lnx) = ln(x + 6)

Reorder the terms:
2ln + lnx + nxL = ln(x + 6)

Reorder the terms:
2ln + lnx + nxL = ln(6 + x)
2ln + lnx + nxL = (6 * ln + x * ln)
2ln + lnx + nxL = (6ln + lnx)

Add '-1lnx' to each side of the equation.
2ln + lnx + -1lnx + nxL = 6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + 0 + nxL = 6ln + lnx + -1lnx
2ln + nxL = 6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + nxL = 6ln + 0
2ln + nxL = 6ln

Solving
2ln + nxL = 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.
2ln + -6ln + nxL = 6ln + -6ln

Combine like terms: 2ln + -6ln = -4ln
-4ln + nxL = 6ln + -6ln

Combine like terms: 6ln + -6ln = 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