In(x-2)+in(2x-3)=1

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Solution for In(x-2)+in(2x-3)=1 equation: 


Simplifying
In(x + -2) + in(2x + -3) = 1

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

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

Reorder the terms:
-3in + 2inx + -2nI + nxI = 1

Solving
-3in + 2inx + -2nI + nxI = 1

Solving for variable 'i'.

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

Add '2nI' to each side of the equation.
-3in + 2inx + -2nI + 2nI + nxI = 1 + 2nI

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

Add '-1nxI' to each side of the equation.
-3in + 2inx + nxI + -1nxI = 1 + 2nI + -1nxI

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

Reorder the terms:
-1 + -3in + 2inx + -2nI + nxI = 1 + 2nI + -1nxI + -1 + -2nI + nxI

Reorder the terms:
-1 + -3in + 2inx + -2nI + nxI = 1 + -1 + 2nI + -2nI + -1nxI + nxI

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

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

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

The solution to this equation could not be determined.

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