2ln(z+2)-ln(z+6)=0

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Solution for 2ln(z+2)-ln(z+6)=0 equation: 


Simplifying
2ln(z + 2) + -1ln(z + 6) = 0

Reorder the terms:
2ln(2 + z) + -1ln(z + 6) = 0
(2 * 2ln + z * 2ln) + -1ln(z + 6) = 0
(4ln + 2lnz) + -1ln(z + 6) = 0

Reorder the terms:
4ln + 2lnz + -1ln(6 + z) = 0
4ln + 2lnz + (6 * -1ln + z * -1ln) = 0
4ln + 2lnz + (-6ln + -1lnz) = 0

Reorder the terms:
4ln + -6ln + 2lnz + -1lnz = 0

Combine like terms: 4ln + -6ln = -2ln
-2ln + 2lnz + -1lnz = 0

Combine like terms: 2lnz + -1lnz = 1lnz
-2ln + 1lnz = 0

Solving
-2ln + 1lnz = 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(-2 + z) = 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 '(-2 + z)' equal to zero and attempt to solve:

Simplifying
-2 + z = 0

Solving
-2 + z = 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 + z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + z = 0 + 2
z = 0 + 2

Combine like terms: 0 + 2 = 2
z = 2

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

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

Simplifying
0 = 2 + -1z

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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