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:
nL(1 + x) + ln(x + -1) = -1
(1 * nL + x * nL) + ln(x + -1) = -1
(1nL + nxL) + ln(x + -1) = -1

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

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

Solving
-1ln + lnx + 1nL + nxL = -1

Solving for variable 'l'.

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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