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

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


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

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

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

Combine like terms: -1ln + 1ln = 0
0 + lnx + -1lnx = ln(-1x)
lnx + -1lnx = ln(-1x)

Combine like terms: lnx + -1lnx = 0
0 = ln(-1x)

Remove parenthesis around (-1x)
0 = ln * -1x

Reorder the terms for easier multiplication:
0 = -1ln * x

Multiply ln * x
0 = -1lnx

Solving
0 = -1lnx

Solving for variable 'l'.

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

Add 'lnx' to each side of the equation.
0 + lnx = -1lnx + lnx
Remove the zero:
lnx = -1lnx + lnx

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

Simplifying
lnx = 0

The solution to this equation could not be determined.

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