Ln(3x+6)-Ln(2x+6)=Ln(x+1)

Solution for Ln(3x+6)-Ln(2x+6)=Ln(x+1) equation:

Simplifying
Ln(3x + 6) + -1Ln(2x + 6) = Ln(x + 1)

Reorder the terms:
nL(6 + 3x) + -1Ln(2x + 6) = Ln(x + 1)
(6 * nL + 3x * nL) + -1Ln(2x + 6) = Ln(x + 1)
(6nL + 3nxL) + -1Ln(2x + 6) = Ln(x + 1)

Reorder the terms:
6nL + 3nxL + -1nL(6 + 2x) = Ln(x + 1)
6nL + 3nxL + (6 * -1nL + 2x * -1nL) = Ln(x + 1)
6nL + 3nxL + (-6nL + -2nxL) = Ln(x + 1)

Reorder the terms:
6nL + -6nL + 3nxL + -2nxL = Ln(x + 1)

Combine like terms: 6nL + -6nL = 0
0 + 3nxL + -2nxL = Ln(x + 1)
3nxL + -2nxL = Ln(x + 1)

Combine like terms: 3nxL + -2nxL = 1nxL
1nxL = Ln(x + 1)

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

Solving
1nxL = 1nL + nxL

Solving for variable 'n'.

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

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

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

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

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

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

Divide each side by '-1'.
nL = 0

Simplifying
nL = 0

The solution to this equation could not be determined.