3ln(3x+1)+ln(2)=0

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Solution for 3ln(3x+1)+ln(2)=0 equation: 


Simplifying
3ln(3x + 1) + ln(2) = 0

Reorder the terms:
3ln(1 + 3x) + ln(2) = 0
(1 * 3ln + 3x * 3ln) + ln(2) = 0
(3ln + 9lnx) + ln(2) = 0

Reorder the terms for easier multiplication:
3ln + 9lnx + 2ln = 0

Reorder the terms:
3ln + 2ln + 9lnx = 0

Combine like terms: 3ln + 2ln = 5ln
5ln + 9lnx = 0

Solving
5ln + 9lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(5 + 9x) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5 + 9x)' equal to zero and attempt to solve:

Simplifying
5 + 9x = 0

Solving
5 + 9x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9x = 0 + -5
9x = 0 + -5

Combine like terms: 0 + -5 = -5
9x = -5

Add '-9x' to each side of the equation.
9x + -9x = -5 + -9x

Combine like terms: 9x + -9x = 0
0 = -5 + -9x

Simplifying
0 = -5 + -9x

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.

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