5ln(x-2)=5

Solution for 5ln(x-2)=5 equation:

Simplifying
5ln(x + -2) = 5

Reorder the terms:
5ln(-2 + x) = 5
(-2 * 5ln + x * 5ln) = 5
(-10ln + 5lnx) = 5

Solving
-10ln + 5lnx = 5

Solving for variable 'l'.

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

Reorder the terms:
-5 + -10ln + 5lnx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -10ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + -2ln + lnx) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-1 + -2ln + lnx)' equal to zero and attempt to solve:

Simplifying
-1 + -2ln + lnx = 0

Solving
-1 + -2ln + lnx = 0

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

Add '1' to each side of the equation.
-1 + -2ln + 1 + lnx = 0 + 1

Reorder the terms:
-1 + 1 + -2ln + lnx = 0 + 1

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

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