3ln(6+x)=-3

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

Simplifying
3ln(6 + x) = -3
(6 * 3ln + x * 3ln) = -3
(18ln + 3lnx) = -3

Solving
18ln + 3lnx = -3

Solving for variable 'l'.

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

Reorder the terms:
3 + 18ln + 3lnx = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 18ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 6ln + lnx) = 0

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

Simplifying
1 + 6ln + lnx = 0

Solving
1 + 6ln + 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 + 6ln + -1 + lnx = 0 + -1

Reorder the terms:
1 + -1 + 6ln + lnx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6ln + lnx = 0 + -1
6ln + lnx = 0 + -1

Combine like terms: 0 + -1 = -1
6ln + 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.