In(3x)-In(x+1)=0

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Solution for In(3x)-In(x+1)=0 equation: 


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

Remove parenthesis around (3x)
nI * 3x + -1In(x + 1) = 0

Reorder the terms for easier multiplication:
3nI * x + -1In(x + 1) = 0

Multiply nI * x
3nxI + -1In(x + 1) = 0

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

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

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

Solving
-1nI + 2nxI = 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(-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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