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 = 1ln
1ln + lnx + -1lnx = 7

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

Solving
1ln = 7

Solving for variable 'l'.

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

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

Simplifying
l = 7n-1