ln(x+10)-ln(x-6)=1

Solution for ln(x+10)-ln(x-6)=1 equation:

Simplifying
ln(x + 10) + -1ln(x + -6) = 1

Reorder the terms:
ln(10 + x) + -1ln(x + -6) = 1
(10 * ln + x * ln) + -1ln(x + -6) = 1
(10ln + lnx) + -1ln(x + -6) = 1

Reorder the terms:
10ln + lnx + -1ln(-6 + x) = 1
10ln + lnx + (-6 * -1ln + x * -1ln) = 1
10ln + lnx + (6ln + -1lnx) = 1

Reorder the terms:
10ln + 6ln + lnx + -1lnx = 1

Combine like terms: 10ln + 6ln = 16ln
16ln + lnx + -1lnx = 1

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

Solving
16ln = 1

Solving for variable 'l'.

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

Divide each side by '16n'.
l = 0.0625n-1

Simplifying
l = 0.0625n-1