ln(x+4)-ln(x-2)=7

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Solution for ln(x+4)-ln(x-2)=7 equation: 


Simplifying
ln(x + 4) + -1ln(x + -2) = 7

Reorder the terms:
ln(4 + x) + -1ln(x + -2) = 7
(4 * ln + x * ln) + -1ln(x + -2) = 7
(4ln + lnx) + -1ln(x + -2) = 7

Reorder the terms:
4ln + lnx + -1ln(-2 + x) = 7
4ln + lnx + (-2 * -1ln + x * -1ln) = 7
4ln + lnx + (2ln + -1lnx) = 7

Reorder the terms:
4ln + 2ln + lnx + -1lnx = 7

Combine like terms: 4ln + 2ln = 6ln
6ln + lnx + -1lnx = 7

Combine like terms: lnx + -1lnx = 0
6ln + 0 = 7
6ln = 7

Solving
6ln = 7

Solving for variable 'l'.

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

Divide each side by '6n'.
l = 1.166666667n-1

Simplifying
l = 1.166666667n-1

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