6+3ln(4x+11)=9

Solution for 6+3ln(4x+11)=9 equation:

Simplifying
6 + 3ln(4x + 11) = 9

Reorder the terms:
6 + 3ln(11 + 4x) = 9
6 + (11 * 3ln + 4x * 3ln) = 9
6 + (33ln + 12lnx) = 9

Solving
6 + 33ln + 12lnx = 9

Solving for variable 'l'.

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

Add '-6' to each side of the equation.
6 + 33ln + -6 + 12lnx = 9 + -6

Reorder the terms:
6 + -6 + 33ln + 12lnx = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 33ln + 12lnx = 9 + -6
33ln + 12lnx = 9 + -6

Combine like terms: 9 + -6 = 3
33ln + 12lnx = 3

Reorder the terms:
-3 + 33ln + 12lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 33ln + 12lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 11ln + 4lnx) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + 11ln + 4lnx)' equal to zero and attempt to solve:

Simplifying
-1 + 11ln + 4lnx = 0

Solving
-1 + 11ln + 4lnx = 0

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

Add '1' to each side of the equation.
-1 + 11ln + 1 + 4lnx = 0 + 1

Reorder the terms:
-1 + 1 + 11ln + 4lnx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 11ln + 4lnx = 0 + 1
11ln + 4lnx = 0 + 1

Combine like terms: 0 + 1 = 1
11ln + 4lnx = 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.