ln(3x+2)+ln(x+4)=

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Solution for ln(3x+2)+ln(x+4)= equation: 


Simplifying
ln(3x + 2) + ln(x + 4) = 0

Reorder the terms:
ln(2 + 3x) + ln(x + 4) = 0
(2 * ln + 3x * ln) + ln(x + 4) = 0
(2ln + 3lnx) + ln(x + 4) = 0

Reorder the terms:
2ln + 3lnx + ln(4 + x) = 0
2ln + 3lnx + (4 * ln + x * ln) = 0
2ln + 3lnx + (4ln + lnx) = 0

Reorder the terms:
2ln + 4ln + 3lnx + lnx = 0

Combine like terms: 2ln + 4ln = 6ln
6ln + 3lnx + lnx = 0

Combine like terms: 3lnx + lnx = 4lnx
6ln + 4lnx = 0

Solving
6ln + 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(3 + 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 '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Add '-2x' to each side of the equation.
2x + -2x = -3 + -2x

Combine like terms: 2x + -2x = 0
0 = -3 + -2x

Simplifying
0 = -3 + -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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