2lnx+8lny-5lnz=0

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Solution for 2lnx+8lny-5lnz=0 equation: 


Simplifying
2lnx + 8lny + -5lnz = 0

Solving
2lnx + 8lny + -5lnz = 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(2x + 8y + -5z) = 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 '(2x + 8y + -5z)' equal to zero and attempt to solve:

Simplifying
2x + 8y + -5z = 0

Solving
2x + 8y + -5z = 0

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

Add '-2x' to each side of the equation.
2x + 8y + -2x + -5z = 0 + -2x

Reorder the terms:
2x + -2x + 8y + -5z = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + 8y + -5z = 0 + -2x
8y + -5z = 0 + -2x
Remove the zero:
8y + -5z = -2x

Add '-8y' to each side of the equation.
8y + -8y + -5z = -2x + -8y

Combine like terms: 8y + -8y = 0
0 + -5z = -2x + -8y
-5z = -2x + -8y

Add '5z' to each side of the equation.
-5z + 5z = -2x + -8y + 5z

Combine like terms: -5z + 5z = 0
0 = -2x + -8y + 5z

Simplifying
0 = -2x + -8y + 5z

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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