Ln(x-5)-ln(x+1)=3

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Solution for Ln(x-5)-ln(x+1)=3 equation: 


Simplifying
Ln(x + -5) + -1ln(x + 1) = 3

Reorder the terms:
nL(-5 + x) + -1ln(x + 1) = 3
(-5 * nL + x * nL) + -1ln(x + 1) = 3
(-5nL + nxL) + -1ln(x + 1) = 3

Reorder the terms:
-5nL + nxL + -1ln(1 + x) = 3
-5nL + nxL + (1 * -1ln + x * -1ln) = 3
-5nL + nxL + (-1ln + -1lnx) = 3

Reorder the terms:
-1ln + -1lnx + -5nL + nxL = 3

Solving
-1ln + -1lnx + -5nL + nxL = 3

Solving for variable 'l'.

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

Add '5nL' to each side of the equation.
-1ln + -1lnx + -5nL + 5nL + nxL = 3 + 5nL

Combine like terms: -5nL + 5nL = 0
-1ln + -1lnx + 0 + nxL = 3 + 5nL
-1ln + -1lnx + nxL = 3 + 5nL

Add '-1nxL' to each side of the equation.
-1ln + -1lnx + nxL + -1nxL = 3 + 5nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-1ln + -1lnx + 0 = 3 + 5nL + -1nxL
-1ln + -1lnx = 3 + 5nL + -1nxL

Reorder the terms:
-3 + -1ln + -1lnx + -5nL + nxL = 3 + 5nL + -1nxL + -3 + -5nL + nxL

Reorder the terms:
-3 + -1ln + -1lnx + -5nL + nxL = 3 + -3 + 5nL + -5nL + -1nxL + nxL

Combine like terms: 3 + -3 = 0
-3 + -1ln + -1lnx + -5nL + nxL = 0 + 5nL + -5nL + -1nxL + nxL
-3 + -1ln + -1lnx + -5nL + nxL = 5nL + -5nL + -1nxL + nxL

Combine like terms: 5nL + -5nL = 0
-3 + -1ln + -1lnx + -5nL + nxL = 0 + -1nxL + nxL
-3 + -1ln + -1lnx + -5nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-3 + -1ln + -1lnx + -5nL + nxL = 0

The solution to this equation could not be determined.

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