Ln(x^2-1)-ln(x+1)=1

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Solution for Ln(x^2-1)-ln(x+1)=1 equation:


Simplifying
Ln(x2 + -1) + -1ln(x + 1) = 1

Reorder the terms:
nL(-1 + x2) + -1ln(x + 1) = 1
(-1 * nL + x2 * nL) + -1ln(x + 1) = 1
(-1nL + nx2L) + -1ln(x + 1) = 1

Reorder the terms:
-1nL + nx2L + -1ln(1 + x) = 1
-1nL + nx2L + (1 * -1ln + x * -1ln) = 1
-1nL + nx2L + (-1ln + -1lnx) = 1

Reorder the terms:
-1ln + -1lnx + -1nL + nx2L = 1

Solving
-1ln + -1lnx + -1nL + nx2L = 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 + -1lnx + -1nL + nL + nx2L = 1 + nL

Combine like terms: -1nL + nL = 0
-1ln + -1lnx + 0 + nx2L = 1 + nL
-1ln + -1lnx + nx2L = 1 + nL

Add '-1nx2L' to each side of the equation.
-1ln + -1lnx + nx2L + -1nx2L = 1 + nL + -1nx2L

Combine like terms: nx2L + -1nx2L = 0
-1ln + -1lnx + 0 = 1 + nL + -1nx2L
-1ln + -1lnx = 1 + nL + -1nx2L

Reorder the terms:
-1 + -1ln + -1lnx + -1nL + nx2L = 1 + nL + -1nx2L + -1 + -1nL + nx2L

Reorder the terms:
-1 + -1ln + -1lnx + -1nL + nx2L = 1 + -1 + nL + -1nL + -1nx2L + nx2L

Combine like terms: 1 + -1 = 0
-1 + -1ln + -1lnx + -1nL + nx2L = 0 + nL + -1nL + -1nx2L + nx2L
-1 + -1ln + -1lnx + -1nL + nx2L = nL + -1nL + -1nx2L + nx2L

Combine like terms: nL + -1nL = 0
-1 + -1ln + -1lnx + -1nL + nx2L = 0 + -1nx2L + nx2L
-1 + -1ln + -1lnx + -1nL + nx2L = -1nx2L + nx2L

Combine like terms: -1nx2L + nx2L = 0
-1 + -1ln + -1lnx + -1nL + nx2L = 0

The solution to this equation could not be determined.

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