2ln(2x-3)+6=0

Solution for 2ln(2x-3)+6=0 equation:

Simplifying
2ln(2x + -3) + 6 = 0

Reorder the terms:
2ln(-3 + 2x) + 6 = 0
(-3 * 2ln + 2x * 2ln) + 6 = 0
(-6ln + 4lnx) + 6 = 0

Reorder the terms:
6 + -6ln + 4lnx = 0

Solving
6 + -6ln + 4lnx = 0

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 + -6ln + -6 + 4lnx = 0 + -6

Reorder the terms:
6 + -6 + -6ln + 4lnx = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -6ln + 4lnx = 0 + -6
-6ln + 4lnx = 0 + -6

Combine like terms: 0 + -6 = -6
-6ln + 4lnx = -6

Reorder the terms:
6 + -6ln + 4lnx = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -6ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -3ln + 2lnx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -3ln + 2lnx)' equal to zero and attempt to solve:

Simplifying
3 + -3ln + 2lnx = 0

Solving
3 + -3ln + 2lnx = 0

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

Add '-3' to each side of the equation.
3 + -3ln + -3 + 2lnx = 0 + -3

Reorder the terms:
3 + -3 + -3ln + 2lnx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3ln + 2lnx = 0 + -3
-3ln + 2lnx = 0 + -3

Combine like terms: 0 + -3 = -3
-3ln + 2lnx = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.