ln(x+40)-ln(x-40)=.2t+C

Solution for ln(x+40)-ln(x-40)=.2t+C equation:

Simplifying
ln(x + 40) + -1ln(x + -40) = 0.2t + C

Reorder the terms:
ln(40 + x) + -1ln(x + -40) = 0.2t + C
(40 * ln + x * ln) + -1ln(x + -40) = 0.2t + C
(40ln + lnx) + -1ln(x + -40) = 0.2t + C

Reorder the terms:
40ln + lnx + -1ln(-40 + x) = 0.2t + C
40ln + lnx + (-40 * -1ln + x * -1ln) = 0.2t + C
40ln + lnx + (40ln + -1lnx) = 0.2t + C

Reorder the terms:
40ln + 40ln + lnx + -1lnx = 0.2t + C

Combine like terms: 40ln + 40ln = 80ln
80ln + lnx + -1lnx = 0.2t + C

Combine like terms: lnx + -1lnx = 0
80ln + 0 = 0.2t + C
80ln = 0.2t + C

Reorder the terms:
80ln = C + 0.2t

Solving
80ln = C + 0.2t

Solving for variable 'l'.

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

Divide each side by '80n'.
l = 0.0125n-1C + 0.0025n-1t

Simplifying
l = 0.0125n-1C + 0.0025n-1t