ln(x+5)-ln(x-2)=3

Solution for ln(x+5)-ln(x-2)=3 equation:

Simplifying
ln(x + 5) + -1ln(x + -2) = 3

Reorder the terms:
ln(5 + x) + -1ln(x + -2) = 3
(5 * ln + x * ln) + -1ln(x + -2) = 3
(5ln + lnx) + -1ln(x + -2) = 3

Reorder the terms:
5ln + lnx + -1ln(-2 + x) = 3
5ln + lnx + (-2 * -1ln + x * -1ln) = 3
5ln + lnx + (2ln + -1lnx) = 3

Reorder the terms:
5ln + 2ln + lnx + -1lnx = 3

Combine like terms: 5ln + 2ln = 7ln
7ln + lnx + -1lnx = 3

Combine like terms: lnx + -1lnx = 0
7ln + 0 = 3
7ln = 3

Solving
7ln = 3

Solving for variable 'l'.

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

Divide each side by '7n'.
l = 0.4285714286n-1

Simplifying
l = 0.4285714286n-1