5ln(2x)+6=12

Solution for 5ln(2x)+6=12 equation:

Simplifying
5ln(2x) + 6 = 12

Remove parenthesis around (2x)
5ln * 2x + 6 = 12

Reorder the terms for easier multiplication:
5 * 2ln * x + 6 = 12

Multiply 5 * 2
10ln * x + 6 = 12

Multiply ln * x
10lnx + 6 = 12

Reorder the terms:
6 + 10lnx = 12

Solving
6 + 10lnx = 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 + 10lnx = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 10lnx = 12 + -6
10lnx = 12 + -6

Combine like terms: 12 + -6 = 6
10lnx = 6

Divide each side by '10nx'.
l = 0.6n-1x-1

Simplifying
l = 0.6n-1x-1