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

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


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

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

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

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