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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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