5ln(3-x)=20

Solution for 5ln(3-x)=20 equation:

Simplifying
5ln(3 + -1x) = 20
(3 * 5ln + -1x * 5ln) = 20
(15ln + -5lnx) = 20

Solving
15ln + -5lnx = 20

Solving for variable 'l'.

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

Reorder the terms:
-20 + 15ln + -5lnx = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 15ln + -5lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 3ln + -1lnx) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-4 + 3ln + -1lnx)' equal to zero and attempt to solve:

Simplifying
-4 + 3ln + -1lnx = 0

Solving
-4 + 3ln + -1lnx = 0

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

Add '4' to each side of the equation.
-4 + 3ln + 4 + -1lnx = 0 + 4

Reorder the terms:
-4 + 4 + 3ln + -1lnx = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3ln + -1lnx = 0 + 4
3ln + -1lnx = 0 + 4

Combine like terms: 0 + 4 = 4
3ln + -1lnx = 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.