6+2ln(4x)=12

Solution for 6+2ln(4x)=12 equation:

Simplifying
6 + 2ln(4x) = 12

Remove parenthesis around (4x)
6 + 2ln * 4x = 12

Reorder the terms for easier multiplication:
6 + 2 * 4ln * x = 12

Multiply 2 * 4
6 + 8ln * x = 12

Multiply ln * x
6 + 8lnx = 12

Solving
6 + 8lnx = 12

Solving for variable 'l'.

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

Add '-6' to each side of the equation.
6 + -6 + 8lnx = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 8lnx = 12 + -6
8lnx = 12 + -6

Combine like terms: 12 + -6 = 6
8lnx = 6

Divide each side by '8nx'.
l = 0.75n-1x-1

Simplifying
l = 0.75n-1x-1