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

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

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

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

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

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

Multiply ln * x
2ln + lnx + 1nL + nxL = lnx

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

Reorder the terms:
2ln + lnx + -1lnx + 1nL + nxL = lnx + -1lnx

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

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

Solving
2ln + 1nL + nxL = 0

Solving for variable 'l'.

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

Add '-1nL' to each side of the equation.
2ln + 1nL + -1nL + nxL = 0 + -1nL

Combine like terms: 1nL + -1nL = 0
2ln + 0 + nxL = 0 + -1nL
2ln + nxL = 0 + -1nL
Remove the zero:
2ln + nxL = -1nL

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

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

Divide each side by '2n'.
l = -0.5L + -0.5xL

Simplifying
l = -0.5L + -0.5xL