2ln(x+4)-6ln(x)=

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Solution for 2ln(x+4)-6ln(x)= equation: 


Simplifying
2ln(x + 4) + -6ln(x) = 0

Reorder the terms:
2ln(4 + x) + -6ln(x) = 0
(4 * 2ln + x * 2ln) + -6ln(x) = 0
(8ln + 2lnx) + -6ln(x) = 0

Multiply ln * x
8ln + 2lnx + -6lnx = 0

Combine like terms: 2lnx + -6lnx = -4lnx
8ln + -4lnx = 0

Solving
8ln + -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), '4ln'.
4ln(2 + -1x) = 0

Ignore the factor 4.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

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

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

Simplifying
0 = -2 + x

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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