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

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


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

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

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

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

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

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

Solving
2lnx = -1

Solving for variable 'l'.

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

Divide each side by '2nx'.
l = -0.5n-1x-1

Simplifying
l = -0.5n-1x-1

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