4.2=ln(2x)

Solution for 4.2=ln(2x) equation:

Simplifying
4.2 = ln(2x)

Remove parenthesis around (2x)
4.2 = ln * 2x

Reorder the terms for easier multiplication:
4.2 = 2ln * x

Multiply ln * x
4.2 = 2lnx

Solving
4.2 = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
4.2 + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
4.2 + -2lnx = 0

Add '-4.2' to each side of the equation.
4.2 + -4.2 + -2lnx = 0 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + -2lnx = 0 + -4.2
-2lnx = 0 + -4.2

Combine like terms: 0 + -4.2 = -4.2
-2lnx = -4.2

Divide each side by '-2nx'.
l = 2.1n-1x-1

Simplifying
l = 2.1n-1x-1