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

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

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

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

Multiply ln * x
2(3ln + lnx + -1lnx) = 3

Combine like terms: lnx + -1lnx = 0
2(3ln + 0) = 3
2(3ln) = 3

Remove parenthesis around (3ln)
2 * 3ln = 3

Multiply 2 * 3
6ln = 3

Solving
6ln = 3

Solving for variable 'l'.

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

Divide each side by '6n'.
l = 0.5n-1

Simplifying
l = 0.5n-1