4ln(x)+6ln(y)-3ln(z)=0

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Solution for 4ln(x)+6ln(y)-3ln(z)=0 equation: 


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

Multiply ln * x
4lnx + 6ln(y) + -3ln(z) = 0

Multiply ln * y
4lnx + 6lny + -3ln(z) = 0

Multiply ln * z
4lnx + 6lny + -3lnz = 0

Solving
4lnx + 6lny + -3lnz = 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(4x + 6y + -3z) = 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 '(4x + 6y + -3z)' equal to zero and attempt to solve:

Simplifying
4x + 6y + -3z = 0

Solving
4x + 6y + -3z = 0

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

Add '-4x' to each side of the equation.
4x + 6y + -4x + -3z = 0 + -4x

Reorder the terms:
4x + -4x + 6y + -3z = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + 6y + -3z = 0 + -4x
6y + -3z = 0 + -4x
Remove the zero:
6y + -3z = -4x

Add '-6y' to each side of the equation.
6y + -6y + -3z = -4x + -6y

Combine like terms: 6y + -6y = 0
0 + -3z = -4x + -6y
-3z = -4x + -6y

Add '3z' to each side of the equation.
-3z + 3z = -4x + -6y + 3z

Combine like terms: -3z + 3z = 0
0 = -4x + -6y + 3z

Simplifying
0 = -4x + -6y + 3z

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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