Ln(x-1)-ln(x+1)=4

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Solution for Ln(x-1)-ln(x+1)=4 equation:


Simplifying
Ln(x + -1) + -1ln(x + 1) = 4

Reorder the terms:
nL(-1 + x) + -1ln(x + 1) = 4
(-1 * nL + x * nL) + -1ln(x + 1) = 4
(-1nL + nxL) + -1ln(x + 1) = 4

Reorder the terms:
-1nL + nxL + -1ln(1 + x) = 4
-1nL + nxL + (1 * -1ln + x * -1ln) = 4
-1nL + nxL + (-1ln + -1lnx) = 4

Reorder the terms:
-1ln + -1lnx + -1nL + nxL = 4

Solving
-1ln + -1lnx + -1nL + nxL = 4

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 + -1lnx + -1nL + nL + nxL = 4 + nL

Combine like terms: -1nL + nL = 0
-1ln + -1lnx + 0 + nxL = 4 + nL
-1ln + -1lnx + nxL = 4 + nL

Add '-1nxL' to each side of the equation.
-1ln + -1lnx + nxL + -1nxL = 4 + nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-1ln + -1lnx + 0 = 4 + nL + -1nxL
-1ln + -1lnx = 4 + nL + -1nxL

Reorder the terms:
-4 + -1ln + -1lnx + -1nL + nxL = 4 + nL + -1nxL + -4 + -1nL + nxL

Reorder the terms:
-4 + -1ln + -1lnx + -1nL + nxL = 4 + -4 + nL + -1nL + -1nxL + nxL

Combine like terms: 4 + -4 = 0
-4 + -1ln + -1lnx + -1nL + nxL = 0 + nL + -1nL + -1nxL + nxL
-4 + -1ln + -1lnx + -1nL + nxL = nL + -1nL + -1nxL + nxL

Combine like terms: nL + -1nL = 0
-4 + -1ln + -1lnx + -1nL + nxL = 0 + -1nxL + nxL
-4 + -1ln + -1lnx + -1nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-4 + -1ln + -1lnx + -1nL + nxL = 0

The solution to this equation could not be determined.

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