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

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


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

Multiply ln * x
lnx + ln(3x + 2) = 0

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

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

Combine like terms: lnx + 3lnx = 4lnx
2ln + 4lnx = 0

Solving
2ln + 4lnx = 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), '2ln'.
2ln(1 + 2x) = 0

Ignore the factor 2.

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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Add '-2x' to each side of the equation.
2x + -2x = -1 + -2x

Combine like terms: 2x + -2x = 0
0 = -1 + -2x

Simplifying
0 = -1 + -2x

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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