In(2x-3)-In(x+5)=0

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Solution for In(2x-3)-In(x+5)=0 equation: 


Simplifying
In(2x + -3) + -1In(x + 5) = 0

Reorder the terms:
nI(-3 + 2x) + -1In(x + 5) = 0
(-3 * nI + 2x * nI) + -1In(x + 5) = 0
(-3nI + 2nxI) + -1In(x + 5) = 0

Reorder the terms:
-3nI + 2nxI + -1nI(5 + x) = 0
-3nI + 2nxI + (5 * -1nI + x * -1nI) = 0
-3nI + 2nxI + (-5nI + -1nxI) = 0

Reorder the terms:
-3nI + -5nI + 2nxI + -1nxI = 0

Combine like terms: -3nI + -5nI = -8nI
-8nI + 2nxI + -1nxI = 0

Combine like terms: 2nxI + -1nxI = 1nxI
-8nI + 1nxI = 0

Solving
-8nI + 1nxI = 0

Solving for variable 'n'.

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

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-8 + x) = 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 '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Add '-1x' to each side of the equation.
x + -1x = 8 + -1x

Combine like terms: x + -1x = 0
0 = 8 + -1x

Simplifying
0 = 8 + -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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