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

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


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

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

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

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

Combine like terms: 6ln + 4ln = 10ln
10ln + lnx + -1lnx = 6

Combine like terms: lnx + -1lnx = 0
10ln + 0 = 6
10ln = 6

Solving
10ln = 6

Solving for variable 'l'.

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

Divide each side by '10n'.
l = 0.6n-1

Simplifying
l = 0.6n-1

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