Ln(x)+ln(x+2)=ln(x-12)

Solution for Ln(x)+ln(x+2)=ln(x-12) equation:

Simplifying
Ln(x) + ln(x + 2) = ln(x + -12)

Multiply nL * x
nxL + ln(x + 2) = ln(x + -12)

Reorder the terms:
nxL + ln(2 + x) = ln(x + -12)
nxL + (2 * ln + x * ln) = ln(x + -12)
nxL + (2ln + lnx) = ln(x + -12)

Reorder the terms:
2ln + lnx + nxL = ln(x + -12)

Reorder the terms:
2ln + lnx + nxL = ln(-12 + x)
2ln + lnx + nxL = (-12 * ln + x * ln)
2ln + lnx + nxL = (-12ln + lnx)

Add '-1lnx' to each side of the equation.
2ln + lnx + -1lnx + nxL = -12ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + 0 + nxL = -12ln + lnx + -1lnx
2ln + nxL = -12ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + nxL = -12ln + 0
2ln + nxL = -12ln

Solving
2ln + nxL = -12ln

Solving for variable 'l'.

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

Add '12ln' to each side of the equation.
2ln + 12ln + nxL = -12ln + 12ln

Combine like terms: 2ln + 12ln = 14ln
14ln + nxL = -12ln + 12ln

Combine like terms: -12ln + 12ln = 0
14ln + nxL = 0

Add '-1nxL' to each side of the equation.
14ln + nxL + -1nxL = 0 + -1nxL

Combine like terms: nxL + -1nxL = 0
14ln + 0 = 0 + -1nxL
14ln = 0 + -1nxL
Remove the zero:
14ln = -1nxL

Divide each side by '14n'.
l = -0.07142857143xL

Simplifying
l = -0.07142857143xL