9ln(x+3)=54

Solution for 9ln(x+3)=54 equation:

Simplifying
9ln(x + 3) = 54

Reorder the terms:
9ln(3 + x) = 54
(3 * 9ln + x * 9ln) = 54
(27ln + 9lnx) = 54

Solving
27ln + 9lnx = 54

Solving for variable 'l'.

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

Reorder the terms:
-54 + 27ln + 9lnx = 54 + -54

Combine like terms: 54 + -54 = 0
-54 + 27ln + 9lnx = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-6 + 3ln + lnx) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(-6 + 3ln + lnx)' equal to zero and attempt to solve:

Simplifying
-6 + 3ln + lnx = 0

Solving
-6 + 3ln + lnx = 0

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

Add '6' to each side of the equation.
-6 + 3ln + 6 + lnx = 0 + 6

Reorder the terms:
-6 + 6 + 3ln + lnx = 0 + 6

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

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

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.