6+2ln(x-1)=14

Solution for 6+2ln(x-1)=14 equation:

Simplifying
6 + 2ln(x + -1) = 14

Reorder the terms:
6 + 2ln(-1 + x) = 14
6 + (-1 * 2ln + x * 2ln) = 14
6 + (-2ln + 2lnx) = 14

Solving
6 + -2ln + 2lnx = 14

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 + -2ln + -6 + 2lnx = 14 + -6

Reorder the terms:
6 + -6 + -2ln + 2lnx = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -2ln + 2lnx = 14 + -6
-2ln + 2lnx = 14 + -6

Combine like terms: 14 + -6 = 8
-2ln + 2lnx = 8

Reorder the terms:
-8 + -2ln + 2lnx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -2ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -1ln + lnx) = 0

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

Simplifying
-4 + -1ln + lnx = 0

Solving
-4 + -1ln + lnx = 0

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

Add '4' to each side of the equation.
-4 + -1ln + 4 + lnx = 0 + 4

Reorder the terms:
-4 + 4 + -1ln + lnx = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1ln + lnx = 0 + 4
-1ln + lnx = 0 + 4

Combine like terms: 0 + 4 = 4
-1ln + lnx = 4

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.