3+2ln(2x)=15

Solution for 3+2ln(2x)=15 equation:

Simplifying
3 + 2ln(2x) = 15

Remove parenthesis around (2x)
3 + 2ln * 2x = 15

Reorder the terms for easier multiplication:
3 + 2 * 2ln * x = 15

Multiply 2 * 2
3 + 4ln * x = 15

Multiply ln * x
3 + 4lnx = 15

Solving
3 + 4lnx = 15

Solving for variable 'l'.

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

Add '-3' to each side of the equation.
3 + -3 + 4lnx = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 4lnx = 15 + -3
4lnx = 15 + -3

Combine like terms: 15 + -3 = 12
4lnx = 12

Divide each side by '4nx'.
l = 3n-1x-1

Simplifying
l = 3n-1x-1