3-2*ln(x-1)=1

Solution for 3-2*ln(x-1)=1 equation:

Simplifying
3 + -2ln(x + -1) = 1

Reorder the terms:
3 + -2ln(-1 + x) = 1
3 + (-1 * -2ln + x * -2ln) = 1
3 + (2ln + -2lnx) = 1

Solving
3 + 2ln + -2lnx = 1

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 + 2ln + -3 + -2lnx = 1 + -3

Reorder the terms:
3 + -3 + 2ln + -2lnx = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 2ln + -2lnx = 1 + -3
2ln + -2lnx = 1 + -3

Combine like terms: 1 + -3 = -2
2ln + -2lnx = -2

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

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

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

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

Simplifying
1 + ln + -1lnx = 0

Solving
1 + ln + -1lnx = 0

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

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

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

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

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

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.