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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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