Ln(x+2)-ln(x-6)=4

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Solution for Ln(x+2)-ln(x-6)=4 equation: 


Simplifying
Ln(x + 2) + -1ln(x + -6) = 4

Reorder the terms:
nL(2 + x) + -1ln(x + -6) = 4
(2 * nL + x * nL) + -1ln(x + -6) = 4
(2nL + nxL) + -1ln(x + -6) = 4

Reorder the terms:
2nL + nxL + -1ln(-6 + x) = 4
2nL + nxL + (-6 * -1ln + x * -1ln) = 4
2nL + nxL + (6ln + -1lnx) = 4

Reorder the terms:
6ln + -1lnx + 2nL + nxL = 4

Solving
6ln + -1lnx + 2nL + nxL = 4

Solving for variable 'l'.

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

Add '-2nL' to each side of the equation.
6ln + -1lnx + 2nL + -2nL + nxL = 4 + -2nL

Combine like terms: 2nL + -2nL = 0
6ln + -1lnx + 0 + nxL = 4 + -2nL
6ln + -1lnx + nxL = 4 + -2nL

Add '-1nxL' to each side of the equation.
6ln + -1lnx + nxL + -1nxL = 4 + -2nL + -1nxL

Combine like terms: nxL + -1nxL = 0
6ln + -1lnx + 0 = 4 + -2nL + -1nxL
6ln + -1lnx = 4 + -2nL + -1nxL

Reorder the terms:
-4 + 6ln + -1lnx + 2nL + nxL = 4 + -2nL + -1nxL + -4 + 2nL + nxL

Reorder the terms:
-4 + 6ln + -1lnx + 2nL + nxL = 4 + -4 + -2nL + 2nL + -1nxL + nxL

Combine like terms: 4 + -4 = 0
-4 + 6ln + -1lnx + 2nL + nxL = 0 + -2nL + 2nL + -1nxL + nxL
-4 + 6ln + -1lnx + 2nL + nxL = -2nL + 2nL + -1nxL + nxL

Combine like terms: -2nL + 2nL = 0
-4 + 6ln + -1lnx + 2nL + nxL = 0 + -1nxL + nxL
-4 + 6ln + -1lnx + 2nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-4 + 6ln + -1lnx + 2nL + nxL = 0

The solution to this equation could not be determined.

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