3.2=ln(24+v)-ln(24-v)

Solution for 3.2=ln(24+v)-ln(24-v) equation:

Simplifying
3.2 = ln(24 + v) + -1ln(24 + -1v)
3.2 = (24 * ln + v * ln) + -1ln(24 + -1v)
3.2 = (24ln + lnv) + -1ln(24 + -1v)
3.2 = 24ln + lnv + (24 * -1ln + -1v * -1ln)
3.2 = 24ln + lnv + (-24ln + 1lnv)

Reorder the terms:
3.2 = 24ln + -24ln + lnv + 1lnv

Combine like terms: 24ln + -24ln = 0
3.2 = 0 + lnv + 1lnv
3.2 = lnv + 1lnv

Combine like terms: lnv + 1lnv = 2lnv
3.2 = 2lnv

Solving
3.2 = 2lnv

Solving for variable 'l'.

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

Add '-2lnv' to each side of the equation.
3.2 + -2lnv = 2lnv + -2lnv

Combine like terms: 2lnv + -2lnv = 0
3.2 + -2lnv = 0

Add '-3.2' to each side of the equation.
3.2 + -3.2 + -2lnv = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -2lnv = 0 + -3.2
-2lnv = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
-2lnv = -3.2

Divide each side by '-2nv'.
l = 1.6n-1v-1

Simplifying
l = 1.6n-1v-1