6ln(3y+1)=36

Solution for 6ln(3y+1)=36 equation:

Simplifying
6ln(3y + 1) = 36

Reorder the terms:
6ln(1 + 3y) = 36
(1 * 6ln + 3y * 6ln) = 36
(6ln + 18lny) = 36

Solving
6ln + 18lny = 36

Solving for variable 'l'.

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

Reorder the terms:
-36 + 6ln + 18lny = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 6ln + 18lny = 0

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

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

Simplifying
-6 + ln + 3lny = 0

Solving
-6 + ln + 3lny = 0

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

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

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

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

Combine like terms: 0 + 6 = 6
ln + 3lny = 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.