3=ln(3x+3)

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

Simplifying
3 = ln(3x + 3)

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

Solving
3 = 3ln + 3lnx

Solving for variable 'l'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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