In(x+8)-Inx=In(x-1)

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Solution for In(x+8)-Inx=In(x-1) equation: 


Simplifying
In(x + 8) + -1Inx = In(x + -1)

Reorder the terms:
nI(8 + x) + -1Inx = In(x + -1)
(8 * nI + x * nI) + -1Inx = In(x + -1)
(8nI + nxI) + -1Inx = In(x + -1)

Combine like terms: nxI + -1nxI = 0
8nI + 0 = In(x + -1)
8nI = In(x + -1)

Reorder the terms:
8nI = nI(-1 + x)
8nI = (-1 * nI + x * nI)
8nI = (-1nI + nxI)

Solving
8nI = -1nI + nxI

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.
8nI + nI = -1nI + nI + nxI

Combine like terms: 8nI + nI = 9nI
9nI = -1nI + nI + nxI

Combine like terms: -1nI + nI = 0
9nI = 0 + nxI
9nI = nxI

Add '-1nxI' to each side of the equation.
9nI + -1nxI = nxI + -1nxI

Combine like terms: nxI + -1nxI = 0
9nI + -1nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(9 + -1x) = 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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Add 'x' to each side of the equation.
-1x + x = -9 + x

Combine like terms: -1x + x = 0
0 = -9 + x

Simplifying
0 = -9 + x

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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