ln(x-1)+In(x+2)=1

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


Simplifying
ln(x + -1) + In(x + 2) = 1

Reorder the terms:
ln(-1 + x) + In(x + 2) = 1
(-1 * ln + x * ln) + In(x + 2) = 1
(-1ln + lnx) + In(x + 2) = 1

Reorder the terms:
-1ln + lnx + nI(2 + x) = 1
-1ln + lnx + (2 * nI + x * nI) = 1
-1ln + lnx + (2nI + nxI) = 1

Solving
-1ln + lnx + 2nI + nxI = 1

Solving for variable 'l'.

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

Add '-2nI' to each side of the equation.
-1ln + lnx + 2nI + -2nI + nxI = 1 + -2nI

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

Add '-1nxI' to each side of the equation.
-1ln + lnx + nxI + -1nxI = 1 + -2nI + -1nxI

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

Reorder the terms:
-1 + -1ln + lnx + 2nI + nxI = 1 + -2nI + -1nxI + -1 + 2nI + nxI

Reorder the terms:
-1 + -1ln + lnx + 2nI + nxI = 1 + -1 + -2nI + 2nI + -1nxI + nxI

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

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

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

The solution to this equation could not be determined.

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