Ln(x+1)-ln(x-1)=3

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Solution for Ln(x+1)-ln(x-1)=3 equation:


Simplifying
Ln(x + 1) + -1ln(x + -1) = 3

Reorder the terms:
nL(1 + x) + -1ln(x + -1) = 3
(1 * nL + x * nL) + -1ln(x + -1) = 3
(1nL + nxL) + -1ln(x + -1) = 3

Reorder the terms:
1nL + nxL + -1ln(-1 + x) = 3
1nL + nxL + (-1 * -1ln + x * -1ln) = 3
1nL + nxL + (1ln + -1lnx) = 3

Reorder the terms:
1ln + -1lnx + 1nL + nxL = 3

Solving
1ln + -1lnx + 1nL + nxL = 3

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 + -1lnx + 1nL + -1nL + nxL = 3 + -1nL

Combine like terms: 1nL + -1nL = 0
1ln + -1lnx + 0 + nxL = 3 + -1nL
1ln + -1lnx + nxL = 3 + -1nL

Add '-1nxL' to each side of the equation.
1ln + -1lnx + nxL + -1nxL = 3 + -1nL + -1nxL

Combine like terms: nxL + -1nxL = 0
1ln + -1lnx + 0 = 3 + -1nL + -1nxL
1ln + -1lnx = 3 + -1nL + -1nxL

Reorder the terms:
-3 + 1ln + -1lnx + nL + nxL = 3 + -1nL + -1nxL + -3 + nL + nxL

Reorder the terms:
-3 + 1ln + -1lnx + nL + nxL = 3 + -3 + -1nL + nL + -1nxL + nxL

Combine like terms: 3 + -3 = 0
-3 + 1ln + -1lnx + nL + nxL = 0 + -1nL + nL + -1nxL + nxL
-3 + 1ln + -1lnx + nL + nxL = -1nL + nL + -1nxL + nxL

Combine like terms: -1nL + nL = 0
-3 + 1ln + -1lnx + nL + nxL = 0 + -1nxL + nxL
-3 + 1ln + -1lnx + nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-3 + 1ln + -1lnx + nL + nxL = 0

The solution to this equation could not be determined.

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