ln(x+10)-ln(x+4)=3

Solution for ln(x+10)-ln(x+4)=3 equation:

Simplifying
ln(x + 10) + -1ln(x + 4) = 3

Reorder the terms:
ln(10 + x) + -1ln(x + 4) = 3
(10 * ln + x * ln) + -1ln(x + 4) = 3
(10ln + lnx) + -1ln(x + 4) = 3

Reorder the terms:
10ln + lnx + -1ln(4 + x) = 3
10ln + lnx + (4 * -1ln + x * -1ln) = 3
10ln + lnx + (-4ln + -1lnx) = 3

Reorder the terms:
10ln + -4ln + lnx + -1lnx = 3

Combine like terms: 10ln + -4ln = 6ln
6ln + lnx + -1lnx = 3

Combine like terms: lnx + -1lnx = 0
6ln + 0 = 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