ln(x+12)-ln(x-4)=5

Solution for ln(x+12)-ln(x-4)=5 equation:

Simplifying
ln(x + 12) + -1ln(x + -4) = 5

Reorder the terms:
ln(12 + x) + -1ln(x + -4) = 5
(12 * ln + x * ln) + -1ln(x + -4) = 5
(12ln + lnx) + -1ln(x + -4) = 5

Reorder the terms:
12ln + lnx + -1ln(-4 + x) = 5
12ln + lnx + (-4 * -1ln + x * -1ln) = 5
12ln + lnx + (4ln + -1lnx) = 5

Reorder the terms:
12ln + 4ln + lnx + -1lnx = 5

Combine like terms: 12ln + 4ln = 16ln
16ln + lnx + -1lnx = 5

Combine like terms: lnx + -1lnx = 0
16ln + 0 = 5
16ln = 5

Solving
16ln = 5

Solving for variable 'l'.

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

Divide each side by '16n'.
l = 0.3125n-1

Simplifying
l = 0.3125n-1