2ln(x-5)+ln(x+5)-ln(x-5)=1

Solution for 2ln(x-5)+ln(x+5)-ln(x-5)=1 equation:

Simplifying
2ln(x + -5) + ln(x + 5) + -1ln(x + -5) = 1

Reorder the terms:
2ln(-5 + x) + ln(x + 5) + -1ln(x + -5) = 1
(-5 * 2ln + x * 2ln) + ln(x + 5) + -1ln(x + -5) = 1
(-10ln + 2lnx) + ln(x + 5) + -1ln(x + -5) = 1

Reorder the terms:
-10ln + 2lnx + ln(5 + x) + -1ln(x + -5) = 1
-10ln + 2lnx + (5 * ln + x * ln) + -1ln(x + -5) = 1
-10ln + 2lnx + (5ln + lnx) + -1ln(x + -5) = 1

Reorder the terms:
-10ln + 2lnx + 5ln + lnx + -1ln(-5 + x) = 1
-10ln + 2lnx + 5ln + lnx + (-5 * -1ln + x * -1ln) = 1
-10ln + 2lnx + 5ln + lnx + (5ln + -1lnx) = 1

Reorder the terms:
-10ln + 5ln + 5ln + 2lnx + lnx + -1lnx = 1

Combine like terms: -10ln + 5ln = -5ln
-5ln + 5ln + 2lnx + lnx + -1lnx = 1

Combine like terms: -5ln + 5ln = 0
0 + 2lnx + lnx + -1lnx = 1
2lnx + lnx + -1lnx = 1

Combine like terms: 2lnx + lnx = 3lnx
3lnx + -1lnx = 1

Combine like terms: 3lnx + -1lnx = 2lnx
2lnx = 1

Solving
2lnx = 1

Solving for variable 'l'.

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

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

Simplifying
l = 0.5n-1x-1