In(x-2)+In(2x-3)=2*In(3)

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


Simplifying
In(x + -2) + In(2x + -3) = 2In(3)

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

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

Reorder the terms:
-2nI + -3nI + nxI + 2nxI = 2In(3)

Combine like terms: -2nI + -3nI = -5nI
-5nI + nxI + 2nxI = 2In(3)

Combine like terms: nxI + 2nxI = 3nxI
-5nI + 3nxI = 2In(3)

Reorder the terms for easier multiplication:
-5nI + 3nxI = 2 * 3nI

Multiply 2 * 3
-5nI + 3nxI = 6nI

Solving
-5nI + 3nxI = 6nI

Solving for variable 'n'.

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

Add '-6nI' to each side of the equation.
-5nI + -6nI + 3nxI = 6nI + -6nI

Combine like terms: -5nI + -6nI = -11nI
-11nI + 3nxI = 6nI + -6nI

Combine like terms: 6nI + -6nI = 0
-11nI + 3nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-11 + 3x) = 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 '(-11 + 3x)' equal to zero and attempt to solve:

Simplifying
-11 + 3x = 0

Solving
-11 + 3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 0 + 11
3x = 0 + 11

Combine like terms: 0 + 11 = 11
3x = 11

Add '-3x' to each side of the equation.
3x + -3x = 11 + -3x

Combine like terms: 3x + -3x = 0
0 = 11 + -3x

Simplifying
0 = 11 + -3x

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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