6=ln(0.5x)

Solution for 6=ln(0.5x) equation:

Simplifying
6 = ln(0.5x)

Remove parenthesis around (0.5x)
6 = ln * 0.5x

Reorder the terms for easier multiplication:
6 = 0.5ln * x

Multiply ln * x
6 = 0.5lnx

Solving
6 = 0.5lnx

Solving for variable 'l'.

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

Add '-0.5lnx' to each side of the equation.
6 + -0.5lnx = 0.5lnx + -0.5lnx

Combine like terms: 0.5lnx + -0.5lnx = 0.0
6 + -0.5lnx = 0.0

Add '-6' to each side of the equation.
6 + -6 + -0.5lnx = 0.0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5lnx = 0.0 + -6
-0.5lnx = 0.0 + -6

Combine like terms: 0.0 + -6 = -6
-0.5lnx = -6

Divide each side by '-0.5nx'.
l = 12n-1x-1

Simplifying
l = 12n-1x-1