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

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


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

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

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

Reorder the terms:
1nI + -2nI + nxI + -1nxI = In(x)

Combine like terms: 1nI + -2nI = -1nI
-1nI + nxI + -1nxI = In(x)

Combine like terms: nxI + -1nxI = 0
-1nI + 0 = In(x)
-1nI = In(x)

Multiply nI * x
-1nI = nxI

Solving
-1nI = nxI

Solving for variable 'n'.

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

Add '-1nxI' to each side of the equation.
-1nI + -1nxI = nxI + -1nxI

Combine like terms: nxI + -1nxI = 0
-1nI + -1nxI = 0

Factor out the Greatest Common Factor (GCF), '-1nI'.
-1nI(1 + x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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