6ln(x+3)-4ln(x)=

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Solution for 6ln(x+3)-4ln(x)= equation: 


Simplifying
6ln(x + 3) + -4ln(x) = 0

Reorder the terms:
6ln(3 + x) + -4ln(x) = 0
(3 * 6ln + x * 6ln) + -4ln(x) = 0
(18ln + 6lnx) + -4ln(x) = 0

Multiply ln * x
18ln + 6lnx + -4lnx = 0

Combine like terms: 6lnx + -4lnx = 2lnx
18ln + 2lnx = 0

Solving
18ln + 2lnx = 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(9 + x) = 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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

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

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

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

Add '-1x' to each side of the equation.
x + -1x = -9 + -1x

Combine like terms: x + -1x = 0
0 = -9 + -1x

Simplifying
0 = -9 + -1x

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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