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

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


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

Reorder the terms:
2ln(-3 + x) + -1ln(x + 3) = 0
(-3 * 2ln + x * 2ln) + -1ln(x + 3) = 0
(-6ln + 2lnx) + -1ln(x + 3) = 0

Reorder the terms:
-6ln + 2lnx + -1ln(3 + x) = 0
-6ln + 2lnx + (3 * -1ln + x * -1ln) = 0
-6ln + 2lnx + (-3ln + -1lnx) = 0

Reorder the terms:
-6ln + -3ln + 2lnx + -1lnx = 0

Combine like terms: -6ln + -3ln = -9ln
-9ln + 2lnx + -1lnx = 0

Combine like terms: 2lnx + -1lnx = 1lnx
-9ln + 1lnx = 0

Solving
-9ln + 1lnx = 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(-9 + x) = 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 '(-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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