In(2x-6)-In(x-3)=Inx

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Solution for In(2x-6)-In(x-3)=Inx equation:


Simplifying
In(2x + -6) + -1In(x + -3) = Inx

Reorder the terms:
nI(-6 + 2x) + -1In(x + -3) = Inx
(-6 * nI + 2x * nI) + -1In(x + -3) = Inx
(-6nI + 2nxI) + -1In(x + -3) = Inx

Reorder the terms:
-6nI + 2nxI + -1nI(-3 + x) = Inx
-6nI + 2nxI + (-3 * -1nI + x * -1nI) = Inx
-6nI + 2nxI + (3nI + -1nxI) = Inx

Reorder the terms:
-6nI + 3nI + 2nxI + -1nxI = Inx

Combine like terms: -6nI + 3nI = -3nI
-3nI + 2nxI + -1nxI = Inx

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

Solving
-3nI + 1nxI = nxI

Solving for variable 'n'.

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

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

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

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

Divide each side by '-3'.
nI = 0

Simplifying
nI = 0

The solution to this equation could not be determined.

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