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

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


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

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

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

Solving for variable 'l'.

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

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

Combine like terms: -1ln + 2ln = 1ln
1ln + lnx = 2 + -2ln + 2ln + -1lnx

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

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

Combine like terms: lnx + lnx = 2lnx
1ln + 2lnx = 2 + -1lnx + lnx

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

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

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

The solution to this equation could not be determined.

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