lnx+ln(x-1)+ln(x+1)=a

Solution for lnx+ln(x-1)+ln(x+1)=a equation:

Simplifying
lnx + ln(x + -1) + ln(x + 1) = a

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

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

Reorder the terms:
-1ln + 1ln + lnx + lnx + lnx = a

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

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

Combine like terms: 2lnx + lnx = 3lnx
3lnx = a

Solving
3lnx = a

Solving for variable 'l'.

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

Divide each side by '3nx'.
l = 0.3333333333an-1x-1

Simplifying
l = 0.3333333333an-1x-1