Ln(x+3)-Ln(x-1)=2

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Solution for Ln(x+3)-Ln(x-1)=2 equation: 


Simplifying
Ln(x + 3) + -1Ln(x + -1) = 2

Reorder the terms:
nL(3 + x) + -1Ln(x + -1) = 2
(3 * nL + x * nL) + -1Ln(x + -1) = 2
(3nL + nxL) + -1Ln(x + -1) = 2

Reorder the terms:
3nL + nxL + -1nL(-1 + x) = 2
3nL + nxL + (-1 * -1nL + x * -1nL) = 2
3nL + nxL + (1nL + -1nxL) = 2

Reorder the terms:
3nL + 1nL + nxL + -1nxL = 2

Combine like terms: 3nL + 1nL = 4nL
4nL + nxL + -1nxL = 2

Combine like terms: nxL + -1nxL = 0
4nL + 0 = 2
4nL = 2

Solving
4nL = 2

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '4L'.
n = 0.5L-1

Simplifying
n = 0.5L-1

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