In(x-6)-ln(x-2)=-1

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Solution for In(x-6)-ln(x-2)=-1 equation: 


Simplifying
In(x + -6) + -1ln(x + -2) = -1

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

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

Reorder the terms:
2ln + -1lnx + -6nI + nxI = -1

Solving
2ln + -1lnx + -6nI + nxI = -1

Solving for variable 'l'.

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

Add '6nI' to each side of the equation.
2ln + -1lnx + -6nI + 6nI + nxI = -1 + 6nI

Combine like terms: -6nI + 6nI = 0
2ln + -1lnx + 0 + nxI = -1 + 6nI
2ln + -1lnx + nxI = -1 + 6nI

Add '-1nxI' to each side of the equation.
2ln + -1lnx + nxI + -1nxI = -1 + 6nI + -1nxI

Combine like terms: nxI + -1nxI = 0
2ln + -1lnx + 0 = -1 + 6nI + -1nxI
2ln + -1lnx = -1 + 6nI + -1nxI

Reorder the terms:
1 + 2ln + -1lnx + -6nI + nxI = -1 + 6nI + -1nxI + 1 + -6nI + nxI

Reorder the terms:
1 + 2ln + -1lnx + -6nI + nxI = -1 + 1 + 6nI + -6nI + -1nxI + nxI

Combine like terms: -1 + 1 = 0
1 + 2ln + -1lnx + -6nI + nxI = 0 + 6nI + -6nI + -1nxI + nxI
1 + 2ln + -1lnx + -6nI + nxI = 6nI + -6nI + -1nxI + nxI

Combine like terms: 6nI + -6nI = 0
1 + 2ln + -1lnx + -6nI + nxI = 0 + -1nxI + nxI
1 + 2ln + -1lnx + -6nI + nxI = -1nxI + nxI

Combine like terms: -1nxI + nxI = 0
1 + 2ln + -1lnx + -6nI + nxI = 0

The solution to this equation could not be determined.

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