Ln(x+6)+ln(x+4)=ln(x+5)

Solution for Ln(x+6)+ln(x+4)=ln(x+5) equation:

Simplifying
Ln(x + 6) + ln(x + 4) = ln(x + 5)

Reorder the terms:
nL(6 + x) + ln(x + 4) = ln(x + 5)
(6 * nL + x * nL) + ln(x + 4) = ln(x + 5)
(6nL + nxL) + ln(x + 4) = ln(x + 5)

Reorder the terms:
6nL + nxL + ln(4 + x) = ln(x + 5)
6nL + nxL + (4 * ln + x * ln) = ln(x + 5)
6nL + nxL + (4ln + lnx) = ln(x + 5)

Reorder the terms:
4ln + lnx + 6nL + nxL = ln(x + 5)

Reorder the terms:
4ln + lnx + 6nL + nxL = ln(5 + x)
4ln + lnx + 6nL + nxL = (5 * ln + x * ln)
4ln + lnx + 6nL + nxL = (5ln + lnx)

Add '-1lnx' to each side of the equation.
4ln + lnx + 6nL + -1lnx + nxL = 5ln + lnx + -1lnx

Reorder the terms:
4ln + lnx + -1lnx + 6nL + nxL = 5ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
4ln + 0 + 6nL + nxL = 5ln + lnx + -1lnx
4ln + 6nL + nxL = 5ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
4ln + 6nL + nxL = 5ln + 0
4ln + 6nL + nxL = 5ln

Solving
4ln + 6nL + 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.
4ln + 6nL + -5ln + nxL = 5ln + -5ln

Reorder the terms:
4ln + -5ln + 6nL + nxL = 5ln + -5ln

Combine like terms: 4ln + -5ln = -1ln
-1ln + 6nL + nxL = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
-1ln + 6nL + nxL = 0

Add '-6nL' to each side of the equation.
-1ln + 6nL + -6nL + nxL = 0 + -6nL

Combine like terms: 6nL + -6nL = 0
-1ln + 0 + nxL = 0 + -6nL
-1ln + nxL = 0 + -6nL
Remove the zero:
-1ln + nxL = -6nL

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

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

Divide each side by '-1n'.
l = 6L + xL

Simplifying
l = 6L + xL