4ln(x-2)=12

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

Simplifying
4ln(x + -2) = 12

Reorder the terms:
4ln(-2 + x) = 12
(-2 * 4ln + x * 4ln) = 12
(-8ln + 4lnx) = 12

Solving
-8ln + 4lnx = 12

Solving for variable 'l'.

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

Reorder the terms:
-12 + -8ln + 4lnx = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -8ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + -2ln + lnx) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-3 + -2ln + lnx)' equal to zero and attempt to solve:

Simplifying
-3 + -2ln + lnx = 0

Solving
-3 + -2ln + lnx = 0

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

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

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

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

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