ln(x+7)-ln(x-7)=1

Solution for ln(x+7)-ln(x-7)=1 equation:

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

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

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

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

Combine like terms: 7ln + 7ln = 14ln
14ln + lnx + -1lnx = 1

Combine like terms: lnx + -1lnx = 0
14ln + 0 = 1
14ln = 1

Solving
14ln = 1

Solving for variable 'l'.

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

Divide each side by '14n'.
l = 0.07142857143n-1

Simplifying
l = 0.07142857143n-1