ln(x+4)-ln(x+5)=5

Solution for ln(x+4)-ln(x+5)=5 equation:

Simplifying
ln(x + 4) + -1ln(x + 5) = 5

Reorder the terms:
ln(4 + x) + -1ln(x + 5) = 5
(4 * ln + x * ln) + -1ln(x + 5) = 5
(4ln + lnx) + -1ln(x + 5) = 5

Reorder the terms:
4ln + lnx + -1ln(5 + x) = 5
4ln + lnx + (5 * -1ln + x * -1ln) = 5
4ln + lnx + (-5ln + -1lnx) = 5

Reorder the terms:
4ln + -5ln + lnx + -1lnx = 5

Combine like terms: 4ln + -5ln = -1ln
-1ln + lnx + -1lnx = 5

Combine like terms: lnx + -1lnx = 0
-1ln + 0 = 5
-1ln = 5

Solving
-1ln = 5

Solving for variable 'l'.

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

Divide each side by '-1n'.
l = -5n-1

Simplifying
l = -5n-1