x*ln(5)+x*ln(3)-1=0

Solution for x*ln(5)+x*ln(3)-1=0 equation:

Simplifying
x * ln(5) + x * ln(3) + -1 = 0

Reorder the terms for easier multiplication:
5x * ln + x * ln(3) + -1 = 0

Multiply x * ln
5lnx + x * ln(3) + -1 = 0

Reorder the terms for easier multiplication:
5lnx + 3x * ln + -1 = 0

Multiply x * ln
5lnx + 3lnx + -1 = 0

Reorder the terms:
-1 + 5lnx + 3lnx = 0

Combine like terms: 5lnx + 3lnx = 8lnx
-1 + 8lnx = 0

Solving
-1 + 8lnx = 0

Solving for variable 'l'.

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

Add '1' to each side of the equation.
-1 + 1 + 8lnx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8lnx = 0 + 1
8lnx = 0 + 1

Combine like terms: 0 + 1 = 1
8lnx = 1

Divide each side by '8nx'.
l = 0.125n-1x-1

Simplifying
l = 0.125n-1x-1