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

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

Simplifying
ln(x + -4) + ln(x + 4) = k

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

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

Reorder the terms:
-4ln + 4ln + lnx + lnx = k

Combine like terms: -4ln + 4ln = 0
0 + lnx + lnx = k
lnx + lnx = k

Combine like terms: lnx + lnx = 2lnx
2lnx = k

Solving
2lnx = k

Solving for variable 'l'.

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

Divide each side by '2nx'.
l = 0.5kn-1x-1

Simplifying
l = 0.5kn-1x-1