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

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


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

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

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

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

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

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

Solving
6ln = 6

Solving for variable 'l'.

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

Divide each side by '6n'.
l = n-1

Simplifying
l = n-1

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