Inx=-In(x+1)

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


Simplifying
Inx = -1In(x + 1)

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

Solving
nxI = -1nI + -1nxI

Solving for variable 'n'.

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

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

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

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

Combine like terms: nxI + nxI = 2nxI
nI + 2nxI = -1nxI + nxI

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

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(1 + 2x) = 0

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 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x 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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