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

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

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

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

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

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

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

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

Solving
7ln = 1

Solving for variable 'l'.

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

Divide each side by '7n'.
l = 0.1428571429n-1

Simplifying
l = 0.1428571429n-1