Lnx+ln(x+4)=ln(x+6)

Solution for Lnx+ln(x+4)=ln(x+6) equation:

Simplifying
Lnx + ln(x + 4) = ln(x + 6)

Reorder the terms:
nxL + ln(4 + x) = ln(x + 6)
nxL + (4 * ln + x * ln) = ln(x + 6)
nxL + (4ln + lnx) = ln(x + 6)

Reorder the terms:
4ln + lnx + nxL = ln(x + 6)

Reorder the terms:
4ln + lnx + nxL = ln(6 + x)
4ln + lnx + nxL = (6 * ln + x * ln)
4ln + lnx + nxL = (6ln + lnx)

Add '-1lnx' to each side of the equation.
4ln + lnx + -1lnx + nxL = 6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
4ln + 0 + nxL = 6ln + lnx + -1lnx
4ln + nxL = 6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
4ln + nxL = 6ln + 0
4ln + nxL = 6ln

Solving
4ln + 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.
4ln + -6ln + nxL = 6ln + -6ln

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

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

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

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

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

Simplifying
l = 0.5xL