In(x+1)-In(4)=-Inx

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Solution for In(x+1)-In(4)=-Inx equation: 


Simplifying
In(x + 1) + -1In(4) = -1Inx

Reorder the terms:
nI(1 + x) + -1In(4) = -1Inx
(1 * nI + x * nI) + -1In(4) = -1Inx
(1nI + nxI) + -1In(4) = -1Inx

Reorder the terms for easier multiplication:
1nI + nxI + -1 * 4nI = -1Inx

Multiply -1 * 4
1nI + nxI + -4nI = -1Inx

Reorder the terms:
1nI + -4nI + nxI = -1Inx

Combine like terms: 1nI + -4nI = -3nI
-3nI + nxI = -1Inx

Solving
-3nI + nxI = -1nxI

Solving for variable 'n'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-3 + 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 '(-3 + 2x)' equal to zero and attempt to solve:

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 0 + 3
2x = 0 + 3

Combine like terms: 0 + 3 = 3
2x = 3

Add '-2x' to each side of the equation.
2x + -2x = 3 + -2x

Combine like terms: 2x + -2x = 0
0 = 3 + -2x

Simplifying
0 = 3 + -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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