In(x+3)-in(x+1)=2

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


Simplifying
In(x + 3) + -1in(x + 1) = 2

Reorder the terms:
nI(3 + x) + -1in(x + 1) = 2
(3 * nI + x * nI) + -1in(x + 1) = 2
(3nI + nxI) + -1in(x + 1) = 2

Reorder the terms:
3nI + nxI + -1in(1 + x) = 2
3nI + nxI + (1 * -1in + x * -1in) = 2
3nI + nxI + (-1in + -1inx) = 2

Reorder the terms:
-1in + -1inx + 3nI + nxI = 2

Solving
-1in + -1inx + 3nI + nxI = 2

Solving for variable 'i'.

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

Add '-3nI' to each side of the equation.
-1in + -1inx + 3nI + -3nI + nxI = 2 + -3nI

Combine like terms: 3nI + -3nI = 0
-1in + -1inx + 0 + nxI = 2 + -3nI
-1in + -1inx + nxI = 2 + -3nI

Add '-1nxI' to each side of the equation.
-1in + -1inx + nxI + -1nxI = 2 + -3nI + -1nxI

Combine like terms: nxI + -1nxI = 0
-1in + -1inx + 0 = 2 + -3nI + -1nxI
-1in + -1inx = 2 + -3nI + -1nxI

Reorder the terms:
-2 + -1in + -1inx + 3nI + nxI = 2 + -3nI + -1nxI + -2 + 3nI + nxI

Reorder the terms:
-2 + -1in + -1inx + 3nI + nxI = 2 + -2 + -3nI + 3nI + -1nxI + nxI

Combine like terms: 2 + -2 = 0
-2 + -1in + -1inx + 3nI + nxI = 0 + -3nI + 3nI + -1nxI + nxI
-2 + -1in + -1inx + 3nI + nxI = -3nI + 3nI + -1nxI + nxI

Combine like terms: -3nI + 3nI = 0
-2 + -1in + -1inx + 3nI + nxI = 0 + -1nxI + nxI
-2 + -1in + -1inx + 3nI + nxI = -1nxI + nxI

Combine like terms: -1nxI + nxI = 0
-2 + -1in + -1inx + 3nI + nxI = 0

The solution to this equation could not be determined.

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