2*ln(x-5)-ln(2x-13)=1

Solution for 2*ln(x-5)-ln(2x-13)=1 equation:

Simplifying
2ln(x + -5) + -1ln(2x + -13) = 1

Reorder the terms:
2ln(-5 + x) + -1ln(2x + -13) = 1
(-5 * 2ln + x * 2ln) + -1ln(2x + -13) = 1
(-10ln + 2lnx) + -1ln(2x + -13) = 1

Reorder the terms:
-10ln + 2lnx + -1ln(-13 + 2x) = 1
-10ln + 2lnx + (-13 * -1ln + 2x * -1ln) = 1
-10ln + 2lnx + (13ln + -2lnx) = 1

Reorder the terms:
-10ln + 13ln + 2lnx + -2lnx = 1

Combine like terms: -10ln + 13ln = 3ln
3ln + 2lnx + -2lnx = 1

Combine like terms: 2lnx + -2lnx = 0
3ln + 0 = 1
3ln = 1

Solving
3ln = 1

Solving for variable 'l'.

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

Divide each side by '3n'.
l = 0.3333333333n-1

Simplifying
l = 0.3333333333n-1