Ln(y-1)+ln(y+1)=-x+z

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


Simplifying
Ln(y + -1) + ln(y + 1) = -1x + z

Reorder the terms:
nL(-1 + y) + ln(y + 1) = -1x + z
(-1 * nL + y * nL) + ln(y + 1) = -1x + z
(-1nL + nyL) + ln(y + 1) = -1x + z

Reorder the terms:
-1nL + nyL + ln(1 + y) = -1x + z
-1nL + nyL + (1 * ln + y * ln) = -1x + z
-1nL + nyL + (1ln + lny) = -1x + z

Reorder the terms:
1ln + lny + -1nL + nyL = -1x + z

Solving
1ln + lny + -1nL + nyL = -1x + z

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 + lny + -1nL + nL + nyL = -1x + nL + z

Combine like terms: -1nL + nL = 0
1ln + lny + 0 + nyL = -1x + nL + z
1ln + lny + nyL = -1x + nL + z

Reorder the terms:
1ln + lny + nyL = nL + -1x + z

Add '-1nyL' to each side of the equation.
1ln + lny + nyL + -1nyL = nL + -1x + -1nyL + z

Combine like terms: nyL + -1nyL = 0
1ln + lny + 0 = nL + -1x + -1nyL + z
1ln + lny = nL + -1x + -1nyL + z

Reorder the terms:
1ln + lny = nL + -1nyL + -1x + z

Reorder the terms:
1ln + lny + -1nL + nyL + x + -1z = nL + -1nL + -1nyL + nyL + -1x + x + z + -1z

Combine like terms: nL + -1nL = 0
1ln + lny + -1nL + nyL + x + -1z = 0 + -1nyL + nyL + -1x + x + z + -1z
1ln + lny + -1nL + nyL + x + -1z = -1nyL + nyL + -1x + x + z + -1z

Combine like terms: -1nyL + nyL = 0
1ln + lny + -1nL + nyL + x + -1z = 0 + -1x + x + z + -1z
1ln + lny + -1nL + nyL + x + -1z = -1x + x + z + -1z

Combine like terms: -1x + x = 0
1ln + lny + -1nL + nyL + x + -1z = 0 + z + -1z
1ln + lny + -1nL + nyL + x + -1z = z + -1z

Combine like terms: z + -1z = 0
1ln + lny + -1nL + nyL + x + -1z = 0

The solution to this equation could not be determined.

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