Ln(x+6)-ln(x-6)=3

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Solution for Ln(x+6)-ln(x-6)=3 equation: 


Simplifying
Ln(x + 6) + -1ln(x + -6) = 3

Reorder the terms:
nL(6 + x) + -1ln(x + -6) = 3
(6 * nL + x * nL) + -1ln(x + -6) = 3
(6nL + nxL) + -1ln(x + -6) = 3

Reorder the terms:
6nL + nxL + -1ln(-6 + x) = 3
6nL + nxL + (-6 * -1ln + x * -1ln) = 3
6nL + nxL + (6ln + -1lnx) = 3

Reorder the terms:
6ln + -1lnx + 6nL + nxL = 3

Solving
6ln + -1lnx + 6nL + nxL = 3

Solving for variable 'l'.

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

Add '-6nL' to each side of the equation.
6ln + -1lnx + 6nL + -6nL + nxL = 3 + -6nL

Combine like terms: 6nL + -6nL = 0
6ln + -1lnx + 0 + nxL = 3 + -6nL
6ln + -1lnx + nxL = 3 + -6nL

Add '-1nxL' to each side of the equation.
6ln + -1lnx + nxL + -1nxL = 3 + -6nL + -1nxL

Combine like terms: nxL + -1nxL = 0
6ln + -1lnx + 0 = 3 + -6nL + -1nxL
6ln + -1lnx = 3 + -6nL + -1nxL

Reorder the terms:
-3 + 6ln + -1lnx + 6nL + nxL = 3 + -6nL + -1nxL + -3 + 6nL + nxL

Reorder the terms:
-3 + 6ln + -1lnx + 6nL + nxL = 3 + -3 + -6nL + 6nL + -1nxL + nxL

Combine like terms: 3 + -3 = 0
-3 + 6ln + -1lnx + 6nL + nxL = 0 + -6nL + 6nL + -1nxL + nxL
-3 + 6ln + -1lnx + 6nL + nxL = -6nL + 6nL + -1nxL + nxL

Combine like terms: -6nL + 6nL = 0
-3 + 6ln + -1lnx + 6nL + nxL = 0 + -1nxL + nxL
-3 + 6ln + -1lnx + 6nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-3 + 6ln + -1lnx + 6nL + nxL = 0

The solution to this equation could not be determined.

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