ln(-6x+9)=3

Solution for ln(-6x+9)=3 equation:

Simplifying
ln(-6x + 9) = 3

Reorder the terms:
ln(9 + -6x) = 3
(9 * ln + -6x * ln) = 3
(9ln + -6lnx) = 3

Solving
9ln + -6lnx = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + 9ln + -6lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 9ln + -6lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 3ln + -2lnx) = 0

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

Simplifying
-1 + 3ln + -2lnx = 0

Solving
-1 + 3ln + -2lnx = 0

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

Add '1' to each side of the equation.
-1 + 3ln + 1 + -2lnx = 0 + 1

Reorder the terms:
-1 + 1 + 3ln + -2lnx = 0 + 1

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

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