ln(x+3)-ln(x-4)=7

Solution for ln(x+3)-ln(x-4)=7 equation:

Simplifying
ln(x + 3) + -1ln(x + -4) = 7

Reorder the terms:
ln(3 + x) + -1ln(x + -4) = 7
(3 * ln + x * ln) + -1ln(x + -4) = 7
(3ln + lnx) + -1ln(x + -4) = 7

Reorder the terms:
3ln + lnx + -1ln(-4 + x) = 7
3ln + lnx + (-4 * -1ln + x * -1ln) = 7
3ln + lnx + (4ln + -1lnx) = 7

Reorder the terms:
3ln + 4ln + lnx + -1lnx = 7

Combine like terms: 3ln + 4ln = 7ln
7ln + lnx + -1lnx = 7

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

Solving
7ln = 7

Solving for variable 'l'.

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

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

Simplifying
l = n-1